Plasma (physics)

Last updated

Lightning3.jpg
NeTube.jpg
Plasma-lamp 2.jpg
Space Shuttle Atlantis in the sky on July 21, 2011, to its final landing.jpg
Top: Lightning and neon lights are commonplace generators of plasma. Bottom left: A plasma globe, illustrating some of the more complex plasma phenomena, including filamentation. Bottom right: A plasma trail from the Space Shuttle Atlantis during re-entry into Earth's atmosphere, as seen from the International Space Station.

Plasma (from Ancient Greek πλάσμα 'moldable substance' [1] ) is one of the four fundamental states of matter, first systematically studied by Irving Langmuir in the 1920s. [2] [3] It consists of a gas of ions – atoms or molecules which have one or more orbital electrons stripped (or, rarely, an extra electron attached), and free electrons.

Contents

Plasma can be artificially generated by heating a neutral gas or subjecting it to a strong electromagnetic field. The presence of free charged particles makes plasma electrically conductive, with the dynamics of individual particles and macroscopic plasma motion governed by collective electromagnetic fields and very sensitive to externally applied fields. [4] The response of plasma to electromagnetic fields is used in many modern technological devices, such as plasma televisions or plasma etching. [5]

Depending on temperature and density, a certain amount of neutral particles may also be present, in which case plasma is called partially ionized. Neon signs and lightning are examples of partially ionized plasmas. [6] Unlike the phase transitions between the other three states of matter, the transition to plasma is not well defined and is a matter of interpretation and context: [7] Whether a given degree of ionization suffices to call the substance "plasma" depends on a specific phenomenon being considered. In other words, plasma is a matter which cannot be correctly described without the presence of charged particles taken into account.

Excluding dark matter and the even more elusive dark energy, plasma is the most abundant form of ordinary matter in the universe. [8] Plasma is mostly associated with stars, [9] including our Sun, [10] [11] and extending to the rarefied intracluster medium and possibly the intergalactic regions. [12]

Early history

Plasma microfields calculated by an N-body simulation. Note the fast moving electrons and slow ions. It resembles a bodily fluid.

Plasma was first identified in laboratory by Sir William Crookes. Crookes presented a lecture on what he called "radiant matter" to the British Association for the Advancement of Science, in Sheffield, on Friday, 22 August 1879. [13] However, systematical studies of plasma began with the research of Irving Langmuir and his colleagues in 1920's. Langmuir also introduced the term "plasma" as a description of ionized gas in 1928: [14]

Except near the electrodes, where there are sheaths containing very few electrons, the ionized gas contains ions and electrons in about equal numbers so that the resultant space charge is very small. We shall use the name plasma to describe this region containing balanced charges of ions and electrons.

Lewi Tonks and Harold Mott-Smith, both of whom worked with Langmuir in the 1920's, recall that Langmuir first used the term by analogy with the blood plasma. [15] [16] Mott-Smith recalls, in particular, that the transport of electrons from thermionic filaments reminded Langmuir of "the way blood plasma carries red and white corpuscles and germs." [17]

Definitions

The fourth state of matter

Plasma is called the fourth state of matter after solid, liquid, and gas. [18] [19] [20] It is a state of matter in which an ionized substance becomes highly electrically conductive to the point that long-range electric and magnetic fields dominate its behaviour. [21] [22]

Plasma is typically an electrically quasineutral medium of unbound positive and negative particles (i.e. the overall charge of a plasma is roughly zero). Although these particles are unbound, they are not "free" in the sense of not experiencing forces. Moving charged particles generate electric currents, and any movement of a charged plasma particle affects and is affected by the fields created by the other charges. In turn this governs collective behaviour with many degrees of variation. [23] [24]

Plasma is distinct from the other states of matter. In particular, describing a low-density plasma as merely an "ionized gas" is wrong and misleading, even though it is similar to the gas phase in that both assume no definite shape or volume. The following table summarizes some principal differences:

PropertyGasPlasma
InteractionsBinary: Two-particle collisions are the rule, three-body collisions extremely rare.Collective: Waves, or organized motion of plasma, are very important because the particles can interact at long ranges through the electric and magnetic forces.
Electrical conductivity Very low: Gases are excellent insulators up to electric field strengths of tens of kilovolts per centimeter. [25] Very high: For many purposes, the conductivity of a plasma may be treated as infinite.
Independently acting speciesOne: All gas particles behave in a similar way, largely influenced by collisions with one another and by gravity.Two or more: Electrons and ions possess different charge and vastly different masses, so that they behave differently in many circumstances, with various types of plasma-specific waves and instabilities emerging as a result.
Velocity distribution Maxwellian : Collisions usually lead to a Maxwellian velocity distribution of all gas particles.Often non-Maxwellian: Collisional interactions are relatively weak in hot plasmas and external forces can drive the plasma far from local equilibrium.

Ideal plasma

Three factors define an ideal plasma: [26] [27]

Non-neutral plasma

The strength and range of the electric force and the good conductivity of plasmas usually ensure that the densities of positive and negative charges in any sizeable region are equal ("quasineutrality"). A plasma with a significant excess of charge density, or, in the extreme case, is composed of a single species, is called a non-neutral plasma. In such a plasma, electric fields play a dominant role. Examples are charged particle beams, an electron cloud in a Penning trap and positron plasmas. [32]

Dusty plasma

A dusty plasma contains tiny charged particles of dust (typically found in space). The dust particles acquire high charges and interact with each other. A plasma that contains larger particles is called grain plasma. Under laboratory conditions, dusty plasmas are also called complex plasmas. [33]

Properties and parameters

Artist's rendition of the Earth's plasma fountain, showing oxygen, helium, and hydrogen ions that gush into space from regions near the Earth's poles. The faint yellow area shown above the north pole represents gas lost from Earth into space; the green area is the aurora borealis, where plasma energy pours back into the atmosphere. Plasma fountain.gif
Artist's rendition of the Earth's plasma fountain, showing oxygen, helium, and hydrogen ions that gush into space from regions near the Earth's poles. The faint yellow area shown above the north pole represents gas lost from Earth into space; the green area is the aurora borealis, where plasma energy pours back into the atmosphere.

Density and ionization degree

For plasma to exist, ionization is necessary. The term "plasma density" by itself usually refers to the electron density , that is, the number of free electrons per unit volume. The degree of ionization is defined as fraction of neutral particles that are ionized:

where is the ion density and the neutral density (in number of particles per unit volume). In the case of fully ionized matter, . Because of the quasineutrality of plasma, the electron and ion densities are related by , where is the average ion charge (in units of the elementary charge).

Temperature

Plasma temperature, commonly measured in kelvin or electronvolts, is a measure of the thermal kinetic energy per particle. High temperatures are usually needed to sustain ionization, which is a defining feature of a plasma. The degree of plasma ionization is determined by the electron temperature relative to the ionization energy (and more weakly by the density). In thermal equilibrium, the relationship is given by the Saha equation. At low temperatures, ions and electrons tend to recombine into bound states—atoms [35] —and the plasma will eventually become a gas.

In most cases, the electrons and heavy plasma particles (ions and neutral atoms) separately have a relatively well-defined temperature; that is, their energy distribution function is close to a Maxwellian even in the presence of strong electric or magnetic fields. However, because of the large difference in mass between electrons and ions, their temperatures may be different, sometimes significantly so. This is especially common in weakly ionized technological plasmas, where the ions are often near the ambient temperature while electrons reach thousands of kelvin.[ citation needed ] The opposite case is the z-pinch plasma where the ion temperature may exceed that of electrons. [36]

Plasma potential

Lightning as an example of plasma present at Earth's surface: Typically, lightning discharges 30 kiloamperes at up to 100 megavolts, and emits radio waves, light, X- and even gamma rays. Plasma temperatures can approach 30000 K and electron densities may exceed 10 m . Bliksem in Assen.jpg
Lightning as an example of plasma present at Earth's surface: Typically, lightning discharges 30 kiloamperes at up to 100 megavolts, and emits radio waves, light, X- and even gamma rays. Plasma temperatures can approach 30000 K and electron densities may exceed 10 m .

Since plasmas are very good electrical conductors, electric potentials play an important role.[ clarification needed ] The average potential in the space between charged particles, independent of how it can be measured, is called the "plasma potential", or the "space potential". If an electrode is inserted into a plasma, its potential will generally lie considerably below the plasma potential due to what is termed a Debye sheath. The good electrical conductivity of plasmas makes their electric fields very small. This results in the important concept of "quasineutrality", which says the density of negative charges is approximately equal to the density of positive charges over large volumes of the plasma (), but on the scale of the Debye length, there can be charge imbalance. In the special case that double layers are formed, the charge separation can extend some tens of Debye lengths. [38]

The magnitude of the potentials and electric fields must be determined by means other than simply finding the net charge density. A common example is to assume that the electrons satisfy the Boltzmann relation:

Differentiating this relation provides a means to calculate the electric field from the density:

It is possible to produce a plasma that is not quasineutral. An electron beam, for example, has only negative charges. The density of a non-neutral plasma must generally be very low, or it must be very small, otherwise, it will be dissipated by the repulsive electrostatic force. [39]

Magnetization

The existence of charged particles causes the plasma to generate, and be affected by, magnetic fields. Plasma with a magnetic field strong enough to influence the motion of the charged particles is said to be magnetized. A common quantitative criterion is that a particle on average completes at least one gyration around the magnetic-field line before making a collision, i.e., , where is the electron gyrofrequency and is the electron collision rate. It is often the case that the electrons are magnetized while the ions are not. Magnetized plasmas are anisotropic , meaning that their properties in the direction parallel to the magnetic field are different from those perpendicular to it. While electric fields in plasmas are usually small due to the plasma high conductivity, the electric field associated with a plasma moving with velocity in the magnetic field is given by the usual Lorentz formula , and is not affected by Debye shielding. [40]

Mathematical descriptions

The complex self-constricting magnetic field lines and current paths in a field-aligned Birkeland current that can develop in a plasma. Magnetic rope.svg
The complex self-constricting magnetic field lines and current paths in a field-aligned Birkeland current that can develop in a plasma.

To completely describe the state of a plasma, all of the particle locations and velocities that describe the electromagnetic field in the plasma region would need to be written down. However, it is generally not practical or necessary to keep track of all the particles in a plasma.[ citation needed ] Therefore, plasma physicists commonly use less detailed descriptions, of which there are two main types:

Fluid model

Fluid models describe plasmas in terms of smoothed quantities, like density and averaged velocity around each position (see Plasma parameters). One simple fluid model, magnetohydrodynamics, treats the plasma as a single fluid governed by a combination of Maxwell's equations and the Navier–Stokes equations. A more general description is the two-fluid plasma, [42] where the ions and electrons are described separately. Fluid models are often accurate when collisionality is sufficiently high to keep the plasma velocity distribution close to a Maxwell–Boltzmann distribution. Because fluid models usually describe the plasma in terms of a single flow at a certain temperature at each spatial location, they can neither capture velocity space structures like beams or double layers, nor resolve wave-particle effects.[ citation needed ]

Kinetic model

Kinetic models describe the particle velocity distribution function at each point in the plasma and therefore do not need to assume a Maxwell–Boltzmann distribution. A kinetic description is often necessary for collisionless plasmas. There are two common approaches to kinetic description of a plasma. One is based on representing the smoothed distribution function on a grid in velocity and position. The other, known as the particle-in-cell (PIC) technique, includes kinetic information by following the trajectories of a large number of individual particles. Kinetic models are generally more computationally intensive than fluid models. The Vlasov equation may be used to describe the dynamics of a system of charged particles interacting with an electromagnetic field. In magnetized plasmas, a gyrokinetic approach can substantially reduce the computational expense of a fully kinetic simulation.[ citation needed ]

Plasma science and technology

Plasmas are the object of study of the academic field of plasma science or plasma physics, [43] including sub-disciplines such as space plasma physics. It currently involves the following fields of active research and features across many journals, whose interest includes:

Plasmas can appear in nature in various forms and locations, which can be usefully broadly summarised in the following Table:

Common forms of plasma
Artificially producedTerrestrial plasmasSpace and astrophysical plasmas

Space and astrophysics

Plasmas are by far the most common phase of ordinary matter in the universe, both by mass and by volume. [48]

Above the Earth's surface, the ionosphere is a plasma, [49] and the magnetosphere contains plasma. [50] Within our Solar System, interplanetary space is filled with the plasma expelled via the solar wind, extending from the Sun's surface out to the heliopause. Furthermore, all the distant stars, and much of interstellar space or intergalactic space is also likely filled with plasma, albeit at very low densities. Astrophysical plasmas are also observed in Accretion disks around stars or compact objects like white dwarfs, neutron stars, or black holes in close binary star systems. [51] Plasma is associated with ejection of material in astrophysical jets, which have been observed with accreting black holes [52] or in active galaxies like M87's jet that possibly extends out to 5,000 light-years. [53]

Artificial plasmas

Most artificial plasmas are generated by the application of electric and/or magnetic fields through a gas. Plasma generated in a laboratory setting and for industrial use can be generally categorized by:

  • The type of power source used to generate the plasma—DC, AC (typically with radio frequency (RF)) and microwave[ citation needed ]
  • The pressure they operate at—vacuum pressure (< 10 mTorr or 1 Pa), moderate pressure (≈1 Torr or 100 Pa), atmospheric pressure (760 Torr or 100 kPa)[ citation needed ]
  • The degree of ionization within the plasma—fully, partially, or weakly ionized[ citation needed ]
  • The temperature relationships within the plasma—thermal plasma (), non-thermal or "cold" plasma ()[ citation needed ]
  • The electrode configuration used to generate the plasma[ citation needed ]
  • The magnetization of the particles within the plasma—magnetized (both ion and electrons are trapped in Larmor orbits by the magnetic field), partially magnetized (the electrons but not the ions are trapped by the magnetic field), non-magnetized (the magnetic field is too weak to trap the particles in orbits but may generate Lorentz forces)[ citation needed ]

Generation of artificial plasma

Simple representation of a discharge tube - plasma.png
Artificial plasma produced in air by a Jacob's Ladder Plasma jacobs ladder.jpg
Artificial plasma produced in air by a Jacob's Ladder

Just like the many uses of plasma, there are several means for its generation. However, one principle is common to all of them: there must be energy input to produce and sustain it. [54] For this case, plasma is generated when an electric current is applied across a dielectric gas or fluid (an electrically non-conducting material) as can be seen in the adjacent image, which shows a discharge tube as a simple example (DC used for simplicity).[ citation needed ]

The potential difference and subsequent electric field pull the bound electrons (negative) toward the anode (positive electrode) while the cathode (negative electrode) pulls the nucleus. [55] As the voltage increases, the current stresses the material (by electric polarization) beyond its dielectric limit (termed strength) into a stage of electrical breakdown, marked by an electric spark, where the material transforms from being an insulator into a conductor (as it becomes increasingly ionized). The underlying process is the Townsend avalanche, where collisions between electrons and neutral gas atoms create more ions and electrons (as can be seen in the figure on the right). The first impact of an electron on an atom results in one ion and two electrons. Therefore, the number of charged particles increases rapidly (in the millions) only "after about 20 successive sets of collisions", [56] mainly due to a small mean free path (average distance travelled between collisions).[ citation needed ]

Electric arc
Cascade process of ionization. Electrons are "e-", neutral atoms "o", and cations "+". Cascade-process-of-ionization.svg
Cascade process of ionization. Electrons are "e−", neutral atoms "o", and cations "+".
Avalanche effect between two electrodes. The original ionization event liberates one electron, and each subsequent collision liberates a further electron, so two electrons emerge from each collision: the ionizing electron and the liberated electron. Townsend Discharge.svg
Avalanche effect between two electrodes. The original ionization event liberates one electron, and each subsequent collision liberates a further electron, so two electrons emerge from each collision: the ionizing electron and the liberated electron.

[ citation needed ]

With ample current density and ionization, this forms a luminous electric arc (a continuous electric discharge similar to lightning) between the electrodes. [Note 1] Electrical resistance along the continuous electric arc creates heat, which dissociates more gas molecules and ionizes the resulting atoms (where degree of ionization is determined by temperature), and as per the sequence: solid-liquid-gas-plasma, the gas is gradually turned into a thermal plasma. [Note 2] A thermal plasma is in thermal equilibrium, which is to say that the temperature is relatively homogeneous throughout the heavy particles (i.e. atoms, molecules and ions) and electrons. This is so because when thermal plasmas are generated, electrical energy is given to electrons, which, due to their great mobility and large numbers, are able to disperse it rapidly and by elastic collision (without energy loss) to the heavy particles. [57] [Note 3]

Examples of industrial/commercial plasma

Because of their sizable temperature and density ranges, plasmas find applications in many fields of research, technology and industry. For example, in: industrial and extractive metallurgy, [57] [58] surface treatments such as plasma spraying (coating), etching in microelectronics, [59] metal cutting [60] and welding; as well as in everyday vehicle exhaust cleanup and fluorescent/luminescent lamps, [54] fuel ignition, while even playing a part in supersonic combustion engines for aerospace engineering. [61]

Low-pressure discharges
  • Glow discharge plasmas: non-thermal plasmas generated by the application of DC or low frequency RF (<100 kHz) electric field to the gap between two metal electrodes. Probably the most common plasma; this is the type of plasma generated within fluorescent light tubes. [62]
  • Capacitively coupled plasma (CCP): similar to glow discharge plasmas, but generated with high frequency RF electric fields, typically 13.56 MHz. These differ from glow discharges in that the sheaths are much less intense. These are widely used in the microfabrication and integrated circuit manufacturing industries for plasma etching and plasma enhanced chemical vapor deposition. [63]
  • Cascaded Arc Plasma Source : a device to produce low temperature (≈1eV) high density plasmas (HDP).
  • Inductively coupled plasma (ICP): similar to a CCP and with similar applications but the electrode consists of a coil wrapped around the chamber where plasma is formed. [64]
  • Wave heated plasma : similar to CCP and ICP in that it is typically RF (or microwave). Examples include helicon discharge and electron cyclotron resonance (ECR). [65]
Atmospheric pressure
  • Arc discharge: this is a high power thermal discharge of very high temperature (≈10,000 K). It can be generated using various power supplies. It is commonly used in metallurgical processes. For example, it is used to smelt minerals containing Al2O3 to produce aluminium.[ citation needed ]
  • Corona discharge: this is a non-thermal discharge generated by the application of high voltage to sharp electrode tips. It is commonly used in ozone generators and particle precipitators.[ citation needed ]
  • Dielectric barrier discharge (DBD): this is a non-thermal discharge generated by the application of high voltages across small gaps wherein a non-conducting coating prevents the transition of the plasma discharge into an arc. It is often mislabeled 'Corona' discharge in industry and has similar application to corona discharges. A common usage of this discharge is in a plasma actuator for vehicle drag reduction. [66] It is also widely used in the web treatment of fabrics. [67] The application of the discharge to synthetic fabrics and plastics functionalizes the surface and allows for paints, glues and similar materials to adhere. [68] The dielectric barrier discharge was used in the mid-1990s to show that low temperature atmospheric pressure plasma is effective in inactivating bacterial cells. [69] This work and later experiments using mammalian cells led to the establishment of a new field of research known as plasma medicine. The dielectric barrier discharge configuration was also used in the design of low temperature plasma jets. These plasma jets are produced by fast propagating guided ionization waves known as plasma bullets. [70]
  • Capacitive discharge: this is a nonthermal plasma generated by the application of RF power (e.g., 13.56 MHz) to one powered electrode, with a grounded electrode held at a small separation distance on the order of 1 cm. Such discharges are commonly stabilized using a noble gas such as helium or argon. [71]
  • "Piezoelectric direct discharge plasma:" is a nonthermal plasma generated at the high-side of a piezoelectric transformer (PT). This generation variant is particularly suited for high efficient and compact devices where a separate high voltage power supply is not desired.[ citation needed ]

MHD converters

A world effort was triggered in the 1960s to study magnetohydrodynamic converters in order to bring MHD power conversion to market with commercial power plants of a new kind, converting the kinetic energy of a high velocity plasma into electricity with no moving parts at a high efficiency. Research was also conducted in the field of supersonic and hypersonic aerodynamics to study plasma interaction with magnetic fields to eventually achieve passive and even active flow control around vehicles or projectiles, in order to soften and mitigate shock waves, lower thermal transfer and reduce drag.[ citation needed ]

Such ionized gases used in "plasma technology" ("technological" or "engineered" plasmas) are usually weakly ionized gases in the sense that only a tiny fraction of the gas molecules are ionized. [72] These kinds of weakly ionized gases are also nonthermal "cold" plasmas. In the presence of magnetics fields, the study of such magnetized nonthermal weakly ionized gases involves resistive magnetohydrodynamics with low magnetic Reynolds number, a challenging field of plasma physics where calculations require dyadic tensors in a 7-dimensional phase space. When used in combination with a high Hall parameter, a critical value triggers the problematic electrothermal instability which limited these technological developments.[ citation needed ]

Complex plasma phenomena

Although the underlying equations governing plasmas are relatively simple, plasma behaviour is extraordinarily varied and subtle: the emergence of unexpected behaviour from a simple model is a typical feature of a complex system. Such systems lie in some sense on the boundary between ordered and disordered behaviour and cannot typically be described either by simple, smooth, mathematical functions, or by pure randomness. The spontaneous formation of interesting spatial features on a wide range of length scales is one manifestation of plasma complexity. The features are interesting, for example, because they are very sharp, spatially intermittent (the distance between features is much larger than the features themselves), or have a fractal form. Many of these features were first studied in the laboratory, and have subsequently been recognized throughout the universe.[ citation needed ] Examples of complexity and complex structures in plasmas include:

Filamentation

Striations or string-like structures, [73] also known as Birkeland currents, are seen in many plasmas, like the plasma ball, the aurora, [74] lightning, [75] electric arcs, solar flares, [76] and supernova remnants. [77] They are sometimes associated with larger current densities, and the interaction with the magnetic field can form a magnetic rope structure. [78] High power microwave breakdown at atmospheric pressure also leads to the formation of filamentary structures. [79] (See also Plasma pinch)

Filamentation also refers to the self-focusing of a high power laser pulse. At high powers, the nonlinear part of the index of refraction becomes important and causes a higher index of refraction in the center of the laser beam, where the laser is brighter than at the edges, causing a feedback that focuses the laser even more. The tighter focused laser has a higher peak brightness (irradiance) that forms a plasma. The plasma has an index of refraction lower than one, and causes a defocusing of the laser beam. The interplay of the focusing index of refraction, and the defocusing plasma makes the formation of a long filament of plasma that can be micrometers to kilometers in length. [80] One interesting aspect of the filamentation generated plasma is the relatively low ion density due to defocusing effects of the ionized electrons. [81] (See also Filament propagation)

Impermeable plasma

Impermeable plasma is a type of thermal plasma which acts like an impermeable solid with respect to gas or cold plasma and can be physically pushed. Interaction of cold gas and thermal plasma was briefly studied by a group led by Hannes Alfvén in 1960s and 1970s for its possible applications in insulation of fusion plasma from the reactor walls. [82] However, later it was found that the external magnetic fields in this configuration could induce kink instabilities in the plasma and subsequently lead to an unexpectedly high heat loss to the walls. [83] In 2013, a group of materials scientists reported that they have successfully generated stable impermeable plasma with no magnetic confinement using only an ultrahigh-pressure blanket of cold gas. While spectroscopic data on the characteristics of plasma were claimed to be difficult to obtain due to the high pressure, the passive effect of plasma on synthesis of different nanostructures clearly suggested the effective confinement. They also showed that upon maintaining the impermeability for a few tens of seconds, screening of ions at the plasma-gas interface could give rise to a strong secondary mode of heating (known as viscous heating) leading to different kinetics of reactions and formation of complex nanomaterials. [84]

See also

Phase transitions of matter ()
To
From
Solid Liquid Gas Plasma
Solid Melting Sublimation
Liquid Freezing Vaporization
Gas Deposition Condensation Ionization
Plasma Recombination

Notes

  1. The material undergoes various "regimes" or stages (e.g. saturation, breakdown, glow, transition and thermal arc) as the voltage is increased under the voltage-current relationship. The voltage rises to its maximum value in the saturation stage, and thereafter it undergoes fluctuations of the various stages; while the current progressively increases throughout. [56]
  2. Across literature, there appears to be no strict definition on where the boundary is between a gas and plasma. Nevertheless, it is enough to say that at 2,000°C the gas molecules become atomized, and ionized at 3,000 °C and "in this state, [the] gas has a liquid like viscosity at atmospheric pressure and the free electric charges confer relatively high electrical conductivities that can approach those of metals." [57]
  3. Note that non-thermal, or non-equilibrium plasmas are not as ionized and have lower energy densities, and thus the temperature is not dispersed evenly among the particles, where some heavy ones remain "cold".

Related Research Articles

Electric current Flow of electric charge

An electric current is a stream of charged particles, such as electrons or ions, moving through an electrical conductor or space. It is measured as the net rate of flow of electric charge through a surface or into a control volume. The moving particles are called charge carriers, which may be one of several types of particles, depending on the conductor. In electric circuits the charge carriers are often electrons moving through a wire. In semiconductors they can be electrons or holes. In a electrolyte the charge carriers are ions, while in plasma, an ionized gas, they are ions and electrons.

Stellar corona Aura of plasma that surrounds the Sun and other stars

A corona is an aura of plasma that surrounds the Sun and other stars. The Sun's corona extends millions of kilometres into outer space and is most easily seen during a total solar eclipse, but it is also observable with a coronagraph. Spectroscopy measurements indicate strong ionization in the corona and a plasma temperature in excess of 1000000 kelvin, much hotter than the surface of the Sun.

Fusor An apparatus to create nuclear fusion

A fusor is a device that uses an electric field to heat ions to nuclear fusion conditions. The machine induces a voltage between two metal cages, inside a vacuum. Positive ions fall down this voltage drop, building up speed. If they collide in the center, they can fuse. This is one kind of an inertial electrostatic confinement device – a branch of fusion research.

A Langmuir probe is a device used to determine the electron temperature, electron density, and electric potential of a plasma. It works by inserting one or more electrodes into a plasma, with a constant or time-varying electric potential between the various electrodes or between them and the surrounding vessel. The measured currents and potentials in this system allow the determination of the physical properties of the plasma.

Corona discharge Electrical discharge brought on by the ionization of a fluid such as air surrounding a conductor that is electrically charged

A corona discharge is an electrical discharge caused by the ionization of a fluid such as air surrounding a conductor carrying a high voltage. It represents a local region where the air has undergone electrical breakdown and become conductive, allowing charge to continuously leak off the conductor into the air. A corona occurs at locations where the strength of the electric field around a conductor exceeds the dielectric strength of the air. It is often seen as a bluish glow in the air adjacent to pointed metal conductors carrying high voltages, and emits light by the same property as a gas discharge lamp.

Ion source Device that creates charged atoms and molecules (ions)

An ion source is a device that creates atomic and molecular ions. Ion sources are used to form ions for mass spectrometers, optical emission spectrometers, particle accelerators, ion implanters and ion engines.

Inertial electrostatic confinement Fusion power research concept

Inertial electrostatic confinement, or IEC, is a class of fusion power devices that use electric fields to confine the plasma rather than the more common approach using magnetic fields found in magnetic fusion energy (MFE) designs. Most IEC devices directly accelerate their fuel to fusion conditions, thereby avoiding energy losses seen during the longer heating stages of MFE devices. In theory, this makes them more suitable for using alternative aneutronic fusion fuels, which offer a number of major practical benefits and makes IEC devices one of the more widely studied approaches to fusion.

Plasma diagnostics are a pool of methods, instruments, and experimental techniques used to measure properties of a plasma, such as plasma components' density, distribution function over energy (temperature), their spatial profiles and dynamics, which enable to derive plasma parameters.

Electron cyclotron resonance (ECR) is a phenomenon observed in plasma physics, condensed matter physics, and accelerator physics. It happens when the frequency of incident radiation coincides with the natural frequency of rotation of electrons in magnetic fields. A free electron in a static and uniform magnetic field will move in a circle due to the Lorentz force. The circular motion may be superimposed with a uniform axial motion, resulting in a helix, or with a uniform motion perpendicular to the field resulting in a cycloid. The angular frequency of this cyclotron motion for a given magnetic field strength B is given by

Inductively coupled plasma

An inductively coupled plasma (ICP) or transformer coupled plasma (TCP) is a type of plasma source in which the energy is supplied by electric currents which are produced by electromagnetic induction, that is, by time-varying magnetic fields.

Electric arc

An electric arc, or arc discharge, is an electrical breakdown of a gas that produces a prolonged electrical discharge. The current through a normally nonconductive medium such as air produces a plasma; the plasma may produce visible light. An arc discharge is characterized by a lower voltage than a glow discharge and relies on thermionic emission of electrons from the electrodes supporting the arc. An archaic term is voltaic arc, as used in the phrase "voltaic arc lamp".

The Saha ionisation equation is an expression that relates the ionisation state of a gas in thermal equilibrium to the temperature and pressure. The equation is a result of combining ideas of quantum mechanics and statistical mechanics and is used to explain the spectral classification of stars. The expression was developed by Bengali physicist Meghnad Saha in 1920.

Madison Symmetric Torus

The Madison Symmetric Torus (MST) is a reversed field pinch (RFP) physics experiment with applications to both fusion energy research and astrophysical plasmas located at University of Wisconsin-Madison. RFPs are significantly different from tokamaks in that they tend to have a higher power density and better confinement characteristics for a given average magnetic field. RFPs also tend to be dominated by non-ideal phenomena and turbulent effects. MST is one of the sites in the Center for Magnetic Self Organization (CMSO).

The diffusion of plasma across a magnetic field was conjectured to follow the Bohm diffusion scaling as indicated from the early plasma experiments of very lossy machines. This predicted that the rate of diffusion was linear with temperature and inversely linear with the strength of the confining magnetic field.

The electrodeless plasma thruster is a spacecraft propulsion engine commercialized under the acronym "E-IMPAcT" for "Electrodeless-Ionization Magnetized Ponderomotive Acceleration Thruster". It was created by Mr. Gregory Emsellem based on technology developed by French Atomic Energy Commission scientist Dr Richard Geller and Dr. Terenzio Consoli, for high speed plasma beam production.

Neutral-beam injection (NBI) is one method used to heat plasma inside a fusion device consisting in a beam of high-energy neutral particles that can enter the magnetic confinement field. When these neutral particles are ionized by collision with the plasma particles, they are kept in the plasma by the confining magnetic field and can transfer most of their energy by further collisions with the plasma. By tangential injection in the torus, neutral beams also provide momentum to the plasma and current drive, one essential feature for long pulses of burning plasmas. Neutral-beam injection is a flexible and reliable technique, which has been the main heating system on a large variety of fusion devices. To date, all NBI systems were based on positive precursor ion beams. In the 1990s there has been impressive progress in negative ion sources and accelerators with the construction of multi-megawatt negative-ion-based NBI systems at LHD (H0, 180 keV) and JT-60U (D0, 500 keV). The NBI designed for ITER is a substantial challenge (D0, 1 MeV, 40 A) and a prototype is being constructed to optimize its performance in view of the ITER future operations. Other ways to heat plasma for nuclear fusion include RF heating, electron cyclotron resonance heating (ECRH), ion cyclotron resonance heating (ICRH), and lower hybrid resonance heating (LH).

The polywell is a proposed design for a fusion reactor using an electric field to heat ions to fusion conditions.

The electrothermal instability is a magnetohydrodynamic (MHD) instability appearing in magnetized non-thermal plasmas used in MHD converters. It was first theoretically discovered in 1962 and experimentally measured into a MHD generator in 1963 by Evgeny Velikhov.

"This paper shows that it is possible to assert sufficiently specifically that the ionization instability is the number one problem for the utilization of a plasma with hot electrons."

Streamer discharge

A streamer discharge, also known as filamentary discharge, is a type of transient electrical discharge which forms at the surface of a conductive electrode carrying a high voltage in an insulating medium such as air. Streamers are luminous writhing branching sparks, plasma channels composed of ionized air molecules, which repeatedly strike out from the electrode into the air.

Non-neutral plasmas

A non-neutral plasma is a plasma whose net charge creates an electric field large enough to play an important or even dominant role in the plasma dynamics. The simplest non-neutral plasmas are plasmas consisting of a single charge species. Examples of single species non-neutral plasmas that have been created in laboratory experiments are plasmas consisting entirely of electrons, pure ion plasmas, positron plasmas, and antiproton plasmas.

References

  1. πλάσμα Archived 18 June 2013 at the Wayback Machine , Henry George Liddell, Robert Scott, A Greek English Lexicon, on Perseus
  2. Goldston, R.J.; Rutherford, P.H. (1995). Introduction to Plasma Physics. Taylor & Francis. p. 1−2. ISBN   978-0-7503-0183-1.
  3. Morozov, A.I. (2012). Introduction to Plasma Dynamics. CRC Press. p. 17. ISBN   978-1-4398-8132-3.
  4. Morozov, A.I. (2012). Introduction to Plasma Dynamics. CRC Press. p. 30. ISBN   978-1-4398-8132-3.
  5. Chu, P.K.; Lu, XinPel (2013). Low Temperature Plasma Technology: Methods and Applications. CRC Press. ISBN   978-1-4665-0990-0.
  6. "How Lightning Works". HowStuffWorks. April 2000. Archived from the original on 7 April 2014.
  7. Morozov, A.I. (2012). Introduction to Plasma Dynamics. CRC Press. p. 4−5. ISBN   978-1-4398-8132-3.
  8. Chu, P.K.; Lu, XinPel (2013). Low Temperature Plasma Technology: Methods and Applications. CRC Press. p. 3. ISBN   978-1-4665-0990-0.
  9. Piel, A. (2010). Plasma Physics: An Introduction to Laboratory, Space, and Fusion Plasmas. Springer. pp. 4–5. ISBN   978-3-642-10491-6. Archived from the original on 5 January 2016.
  10. Phillips, K. J. H. (1995). Guide to the Sun. Cambridge University Press. p. 295. ISBN   978-0-521-39788-9. Archived from the original on 15 January 2018.
  11. Aschwanden, M. J. (2004). Physics of the Solar Corona. An Introduction. Praxis Publishing. ISBN   978-3-540-22321-4.
  12. Chiuderi, C.; Velli, M. (2015). Basics of Plasma Astrophysics. Springer. p. 17. ISBN   978-88-470-5280-2.
  13. "Archived copy". Archived from the original on 9 July 2006. Retrieved 24 May 2006.CS1 maint: archived copy as title (link) "Radiant Matter". Archived from the original on 13 June 2006. Retrieved 24 May 2006.
  14. Langmuir, I. (1928). "Oscillations in Ionized Gases". Proceedings of the National Academy of Sciences. 14 (8): 627–637. Bibcode:1928PNAS...14..627L. doi:10.1073/pnas.14.8.627. PMC   1085653 . PMID   16587379.
  15. Tonks, Lewi (1967). "The birth of "plasma"". American Journal of Physics. 35 (9): 857–858. Bibcode:1967AmJPh..35..857T. doi:10.1119/1.1974266.
  16. Brown, Sanborn C. (1978). "Chapter 1: A Short History of Gaseous Electronics". In Hirsh, Merle N.; Oskam, H. J. (eds.). Gaseous Electronics. 1. Academic Press. ISBN   978-0-12-349701-7. Archived from the original on 23 October 2017.
  17. Mott-Smith, Harold M. (1971). "History of "plasmas"". Nature. 233 (5316): 219. Bibcode:1971Natur.233..219M. doi: 10.1038/233219a0 . PMID   16063290.
  18. Frank-Kamenetskii, David A. (1972) [1961–1963]. Plasma-The Fourth State of Matter (3rd ed.). New York: Plenum Press. ISBN   9781468418965. Archived from the original on 15 January 2018.
  19. Yaffa Eliezer, Shalom Eliezer, The Fourth State of Matter: An Introduction to the Physics of Plasma, Publisher: Adam Hilger, 1989, ISBN   978-0-85274-164-1, 226 pages, page 5
  20. Bittencourt, J.A. (2004). Fundamentals of Plasma Physics. Springer. p. 1. ISBN   9780387209753. Archived from the original on 2 February 2017.
  21. 1 2 Chen, Francis F. (1984). Introduction to Plasma Physics and controlled fusion. Springer International Publishing. pp. 2–3. ISBN   9781475755954. Archived from the original on 15 January 2018.
  22. 1 2 Freidberg, Jeffrey P. (2008). Plasma Physics and Fusion Energy. Cambridge University Press. p. 121. ISBN   9781139462150. Archived from the original on 24 December 2016.
  23. Sturrock, Peter A. (1994). Plasma Physics: An Introduction to the Theory of Astrophysical, Geophysical & Laboratory Plasmas. Cambridge University Press. ISBN   978-0-521-44810-9.
  24. Hazeltine, R.D.; Waelbroeck, F.L. (2004). The Framework of Plasma Physics. Westview Press. ISBN   978-0-7382-0047-7.
  25. Hong, Alice (2000). Elert, Glenn (ed.). "Dielectric Strength of Air". The Physics Factbook. Retrieved 6 July 2018.
  26. Dendy, R. O. (1990). Plasma Dynamics. Oxford University Press. ISBN   978-0-19-852041-2. Archived from the original on 15 January 2018.
  27. Hastings, Daniel & Garrett, Henry (2000). Spacecraft-Environment Interactions. Cambridge University Press. ISBN   978-0-521-47128-2.
  28. 1929-, Chen, Francis F. (1984). Introduction to plasma physics and controlled fusion. Chen, Francis F., 1929- (2nd ed.). New York: Plenum Press. ISBN   978-0306413322. OCLC   9852700. Archived from the original on 15 January 2018.CS1 maint: numeric names: authors list (link)
  29. Fortov, Vladimir E; Iakubov, Igor T (November 1999). The Physics of Non-Ideal Plasma. WORLD SCIENTIFIC. doi:10.1142/3634. ISBN   978-981-02-3305-1. 978-981-281-554-5 . Retrieved 19 March 2021.
  30. "Quasi-neutrality - The Plasma Universe theory (Wikipedia-like Encyclopedia)". www.plasma-universe.com. Archived from the original on 26 October 2017. Retrieved 25 October 2017.
  31. Klimontovich, Yu L. (31 January 1997). "Physics of collisionless plasma". Physics-Uspekhi. 40 (1): 21–51. doi:10.1070/PU1997v040n01ABEH000200. ISSN   1063-7869 . Retrieved 19 March 2021.
  32. Greaves, R. G.; Tinkle, M. D.; Surko, C. M. (1994). "Creation and uses of positron plasmas". Physics of Plasmas. 1 (5): 1439. Bibcode:1994PhPl....1.1439G. doi:10.1063/1.870693.
  33. Morfill, G. E.; Ivlev, Alexei V. (2009). "Complex plasmas: An interdisciplinary research field". Reviews of Modern Physics. 81 (4): 1353–1404. Bibcode:2009RvMP...81.1353M. doi:10.1103/RevModPhys.81.1353.
  34. Plasma fountain Source Archived 6 September 2008 at the Wayback Machine , press release: Solar Wind Squeezes Some of Earth's Atmosphere into Space Archived 20 March 2009 at the Wayback Machine
  35. Nicholson, Dwight R. (1983). Introduction to Plasma Theory. John Wiley & Sons. ISBN   978-0-471-09045-8.
  36. Maron, Yitzhak (1 June 2020). "Experimental determination of the thermal, turbulent, and rotational ion motion and magnetic field profiles in imploding plasmas". Physics of Plasmas. 27 (6): 060901. doi: 10.1063/5.0009432 . ISSN   1070-664X . Retrieved 28 June 2020.
  37. See Flashes in the Sky: Earth's Gamma-Ray Bursts Triggered by Lightning Archived 7 July 2014 at the Wayback Machine
  38. Block, Lars P. (1978). "A double layer review". Astrophysics and Space Science. 55 (1): 59–83. doi:10.1007/BF00642580. ISSN   1572-946X . Retrieved 15 July 2021.
  39. Plasma science : from fundamental research to technological applications. National Research Council (U.S.). Panel on Opportunities in Plasma Science and Technology. Washington, D.C.: National Academy Press. 1995. p. 51. ISBN   9780309052313. OCLC   42854229.CS1 maint: others (link)
  40. Richard Fitzpatrick, Introduction to Plasma Physics, Magnetized plasmas Archived 1 March 2006 at the Wayback Machine
  41. See Evolution of the Solar System Archived 25 December 2017 at the Wayback Machine , 1976
  42. Roy, Subrata; Pandey, B. P. (September 2002). "Numerical investigation of a Hall thruster plasma". Physics of Plasmas. 9 (9): 4052–4060. Bibcode:2002PhPl....9.4052R. doi:10.1063/1.1498261. hdl: 2027.42/70486 .
  43. University of Colorado, Plasma Physics, Overview
  44. "Wrangling flow to quiet cars and aircraft," EurekAlert, http://www.eurekalert.org/pub_releases/2013-10/aiop-wft101813.php, viewed on 1/20/2014.
  45. "High-tech dentistry – "St Elmo's frier" – Using a plasma torch to clean your teeth". The Economist print edition. 17 June 2009. Archived from the original on 20 June 2009. Retrieved 7 September 2009.
  46. IPPEX Glossary of Fusion Terms Archived 8 March 2008 at the Wayback Machine . Ippex.pppl.gov. Retrieved on 2011-11-19.
  47. Helmenstine, Anne Marie. "What is the State of Matter of Fire or Flame? Is it a Liquid, Solid, or Gas?". About.com. Retrieved 21 January 2009.
  48. It is assumed that more than 99% the visible universe is made of some form of plasma.Gurnett, D. A. & Bhattacharjee, A. (2005). Introduction to Plasma Physics: With Space and Laboratory Applications. Cambridge, UK: Cambridge University Press. p. 2. ISBN   978-0-521-36483-6.Scherer, K; Fichtner, H & Heber, B (2005). Space Weather: The Physics Behind a Slogan. Berlin: Springer. p. 138. ISBN   978-3-540-22907-0..
  49. Kelley, M. C. (2009). The Earth's Ionosphere: Plasma Physics and Electrodynamics (2nd ed.). Academic Press. ISBN   9780120884254.
  50. Russell, C.T. (1990). "The Magnetopause". Physics of Magnetic Flux Ropes. Geophysical Monograph Series. 58: 439–453. Bibcode:1990GMS....58..439R. doi:10.1029/GM058p0439. ISBN   0-87590-026-7. Archived from the original on 3 May 2012. Retrieved 25 August 2018.
  51. Mészáros, Péter (2010) The High Energy Universe: Ultra-High Energy Events in Astrophysics and Cosmology, Publisher: Cambridge University Press, ISBN   978-0-521-51700-3, p. 99 Archived 2 February 2017 at the Wayback Machine .
  52. Raine, Derek J. and Thomas, Edwin George (2010) Black Holes: An Introduction, Publisher: Imperial College Press, ISBN   978-1-84816-382-9, p. 160 Archived 2 December 2016 at the Wayback Machine
  53. Nemiroff, Robert and Bonnell, Jerry (11 December 2004) Astronomy Picture of the Day Archived 18 October 2012 at the Wayback Machine , nasa.gov
  54. 1 2 Hippler, R.; Kersten, H.; Schmidt, M.; Schoenbach, K.M., eds. (2008). "Plasma Sources". Low Temperature Plasmas: Fundamentals, Technologies, and Techniques (2nd ed.). Wiley-VCH. ISBN   978-3-527-40673-9.
  55. Chen, Francis F. (1984). Plasma Physics and Controlled Fusion. Plenum Press. ISBN   978-0-306-41332-2. Archived from the original on 15 January 2018.
  56. Leal-Quirós, Edbertho (2004). "Plasma Processing of Municipal Solid Waste". Brazilian Journal of Physics. 34 (4B): 1587–1593. Bibcode:2004BrJPh..34.1587L. doi: 10.1590/S0103-97332004000800015 .
  57. 1 2 Gomez, E.; Rani, D. A.; Cheeseman, C. R.; Deegan, D.; Wise, M.; Boccaccini, A. R. (2009). "Thermal plasma technology for the treatment of wastes: A critical review". Journal of Hazardous Materials. 161 (2–3): 614–626. doi:10.1016/j.jhazmat.2008.04.017. PMID   18499345.
  58. Szałatkiewicz, J. (2016). "Metals Recovery from Artificial Ore in Case of Printed Circuit Boards, Using Plasmatron Plasma Reactor". Materials. 9 (8): 683–696. Bibcode:2016Mate....9..683S. doi:10.3390/ma9080683. PMC   5512349 . PMID   28773804.
  59. National Research Council (1991). Plasma Processing of Materials : Scientific Opportunities and Technological Challenges. National Academies Press. ISBN   978-0-309-04597-1.
  60. Nemchinsky, V. A.; Severance, W. S. (2006). "What we know and what we do not know about plasma arc cutting". Journal of Physics D: Applied Physics. 39 (22): R423. Bibcode:2006JPhD...39R.423N. doi:10.1088/0022-3727/39/22/R01.
  61. Peretich, M.A.; O'Brien, W.F.; Schetz, J.A. (2007). "Plasma torch power control for scramjet application" (PDF). Virginia Space Grant Consortium. Archived from the original (PDF) on 29 June 2010. Retrieved 12 April 2010.Cite journal requires |journal= (help)
  62. Stern, David P. "The Fluorescent Lamp: A plasma you can use". Archived from the original on 30 May 2010. Retrieved 19 May 2010.
  63. Sobolewski, M.A.; Langan & Felker, J.G. & B.S. (1997). "Electrical optimization of plasma-enhanced chemical vapor deposition chamber cleaning plasmas" (PDF). Journal of Vacuum Science and Technology B. 16 (1): 173–182. Bibcode:1998JVSTB..16..173S. doi:10.1116/1.589774. Archived from the original (PDF) on 18 January 2009.
  64. Okumura, T. (2010). "Inductively Coupled Plasma Sources and Applications". Physics Research International. 2010: 1–14. doi: 10.1155/2010/164249 .
  65. Plasma Chemistry. Cambridge University Press. 2008. p. 229. ISBN   9781139471732. Archived from the original on 2 February 2017.
  66. Roy, S.; Zhao, P.; Dasgupta, A.; Soni, J. (2016). "Dielectric barrier discharge actuator for vehicle drag reduction at highway speeds". AIP Advances. 6 (2): 025322. Bibcode:2016AIPA....6b5322R. doi: 10.1063/1.4942979 .
  67. Leroux, F.; Perwuelz, A.; Campagne, C.; Behary, N. (2006). "Atmospheric air-plasma treatments of polyester textile structures". Journal of Adhesion Science and Technology. 20 (9): 939–957. doi:10.1163/156856106777657788. S2CID   137392051.
  68. Leroux, F. D. R.; Campagne, C.; Perwuelz, A.; Gengembre, L. O. (2008). "Polypropylene film chemical and physical modifications by dielectric barrier discharge plasma treatment at atmospheric pressure". Journal of Colloid and Interface Science. 328 (2): 412–420. Bibcode:2008JCIS..328..412L. doi:10.1016/j.jcis.2008.09.062. PMID   18930244.
  69. Laroussi, M. (1996). "Sterilization of contaminated matter with an atmospheric pressure plasma". IEEE Transactions on Plasma Science. 24 (3): 1188–1191. Bibcode:1996ITPS...24.1188L. doi:10.1109/27.533129.
  70. Lu, X.; Naidis, G.V.; Laroussi, M.; Ostrikov, K. (2014). "Guided ionization waves: Theory and experiments". Physics Reports. 540 (3): 123. Bibcode:2014PhR...540..123L. doi:10.1016/j.physrep.2014.02.006.
  71. Park, J.; Henins, I.; Herrmann, H. W.; Selwyn, G. S.; Hicks, R. F. (2001). "Discharge phenomena of an atmospheric pressure radio-frequency capacitive plasma source". Journal of Applied Physics. 89 (1): 20. Bibcode:2001JAP....89...20P. doi:10.1063/1.1323753.
  72. Plasma scattering of electromagnetic radiation : theory and measurement techniques. Froula, Dustin H. (1st ed., 2nd ed.). Burlington, MA: Academic Press/Elsevier. 2011. p. 273. ISBN   978-0080952031. OCLC   690642377.CS1 maint: others (link)
  73. Dickel, J. R. (1990). "The Filaments in Supernova Remnants: Sheets, Strings, Ribbons, or?". Bulletin of the American Astronomical Society. 22: 832. Bibcode:1990BAAS...22..832D.
  74. Grydeland, T. (2003). "Interferometric observations of filamentary structures associated with plasma instability in the auroral ionosphere". Geophysical Research Letters. 30 (6): 1338. Bibcode:2003GeoRL..30.1338G. doi: 10.1029/2002GL016362 .
  75. Moss, G. D.; Pasko, V. P.; Liu, N.; Veronis, G. (2006). "Monte Carlo model for analysis of thermal runaway electrons in streamer tips in transient luminous events and streamer zones of lightning leaders". Journal of Geophysical Research. 111 (A2): A02307. Bibcode:2006JGRA..111.2307M. doi: 10.1029/2005JA011350 .
  76. Doherty, Lowell R.; Menzel, Donald H. (1965). "Filamentary Structure in Solar Prominences". The Astrophysical Journal. 141: 251. Bibcode:1965ApJ...141..251D. doi:10.1086/148107.
  77. "Hubble views the Crab Nebula M1: The Crab Nebula Filaments". Archived from the original on 5 October 2009. Retrieved 26 January 2017.CS1 maint: bot: original URL status unknown (link). The University of Arizona
  78. Zhang, Y. A.; Song, M. T.; Ji, H. S. (2002). "A rope-shaped solar filament and a IIIb flare". Chinese Astronomy and Astrophysics. 26 (4): 442–450. Bibcode:2002ChA&A..26..442Z. doi:10.1016/S0275-1062(02)00095-4.
  79. Boeuf, J. P.; Chaudhury, B.; Zhu, G. Q. (2010). "Theory and Modeling of Self-Organization and Propagation of Filamentary Plasma Arrays in Microwave Breakdown at Atmospheric Pressure". Physical Review Letters. 104 (1): 015002. Bibcode:2010PhRvL.104a5002B. doi:10.1103/PhysRevLett.104.015002. PMID   20366367.
  80. Chin, S. L. (2006). "Some Fundamental Concepts of Femtosecond Laser Filamentation". Progress in Ultrafast Intense Laser Science III (PDF). Journal of the Korean Physical Society. Springer Series in Chemical Physics. 49. p. 281. Bibcode:2008pui3.book..243C. doi:10.1007/978-3-540-73794-0_12. ISBN   978-3-540-73793-3.
  81. Talebpour, A.; Abdel-Fattah, M.; Chin, S. L. (2000). "Focusing limits of intense ultrafast laser pulses in a high pressure gas: Road to new spectroscopic source". Optics Communications. 183 (5–6): 479–484. Bibcode:2000OptCo.183..479T. doi:10.1016/S0030-4018(00)00903-2.
  82. Alfvén, H.; Smårs, E. (1960). "Gas-Insulation of a Hot Plasma". Nature. 188 (4753): 801–802. Bibcode:1960Natur.188..801A. doi:10.1038/188801a0. S2CID   26797662.
  83. Braams, C.M. (1966). "Stability of Plasma Confined by a Cold-Gas Blanket". Physical Review Letters. 17 (9): 470–471. Bibcode:1966PhRvL..17..470B. doi:10.1103/PhysRevLett.17.470.
  84. Yaghoubi, A.; Mélinon, P. (2013). "Tunable synthesis and in situ growth of silicon-carbon mesostructures using impermeable plasma". Scientific Reports. 3: 1083. Bibcode:2013NatSR...3E1083Y. doi:10.1038/srep01083. PMC   3547321 . PMID   23330064.