Plasma

Short description: State of matter

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 grc πλάσμα (plásma) 'moldable substance') is one of four fundamental states of matter, characterized by the presence of a significant portion of charged particles in any combination of ions or electrons.[1] It is the most abundant form of ordinary matter in the universe, mostly in stars (including the Sun), but also dominating the rarefied intracluster medium and intergalactic medium.[2][3][4][5] Plasma can be artificially generated, for example, by heating a neutral gas or subjecting it to a strong electromagnetic field.[6]

The presence of 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.[7] The response of plasma to electromagnetic fields is used in many modern devices and technologies, such as plasma televisions or plasma etching.[8]

Depending on temperature and density, a certain number 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.[9] 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.[10] Whether a given degree of ionization suffices to call a substance "plasma" depends on the specific phenomenon being considered.

## Contents

* 1 Early history
* 2 Definitions
* 2.1 The fourth state of matter
* 2.2 Ideal plasma
* 2.3 Non-neutral plasma
* 2.4 Dusty plasma
* 3 Properties and parameters
* 3.1 Density and ionization degree
* 3.2 Temperature
* 3.3 Plasma potential
* 3.4 Magnetization
* 4 Mathematical descriptions
* 4.1 Fluid model
* 4.2 Kinetic model
* 5 Plasma science and technology
* 5.1 Space and astrophysics
* 5.2 Artificial plasmas
* 5.2.1 Generation of artificial plasma
* 5.2.1.1 Electric arc
* 5.2.2 Examples of industrial plasma
* 5.2.2.1 Low-pressure discharges
* 5.2.2.2 Atmospheric pressure
* 5.2.3 MHD converters
* 6 Complex plasma phenomena
* 6.1 Filamentation
* 6.2 Impermeable plasma
* 7 Gallery
* 8 See also
* 9 References
* 10 External links

## Early history

File:Plasma microfields.webm

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.[11] Systematic studies of plasma began with the research of Irving Langmuir and his colleagues in the 1920s. Langmuir also introduced the term "plasma" as a description of ionized gas in 1928:[12]

> 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 1920s, recall that Langmuir first used the term by analogy with the blood plasma.[13][14] 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."[15]

Continuum mechanics

Laws

|  Conservations

* Mass
* Momentum
* Energy

Inequalities

* Clausius–Duhem (entropy)

Solid mechanics

* Deformation
* Elasticity
* linear
* Plasticity
* Hooke's law
* Stress
* Finite strain
* Infinitesimal strain
* Compatibility
* Bending
* Contact mechanics
* frictional
* Material failure theory
* Fracture mechanics

Fluid mechanics

|  Fluids

* Statics · Dynamics
* Archimedes' principle · Bernoulli's principle
* Navier–Stokes equations
* Poiseuille equation · Pascal's law
* Viscosity
* (Newtonian · non-Newtonian)
* Buoyancy · Mixing · Pressure

Liquids

* Surface tension
* Capillary action

Gases

* Atmosphere
* Boyle's law
* Charles's law
* Gay-Lussac's law
* Combined gas law

Plasma

Rheology

* Viscoelasticity
* Rheometry
* Rheometer

Smart fluids

* Electrorheological
* Magnetorheological
* Ferrofluids

Scientists

* Bernoulli
* Boyle
* Cauchy
* Charles
* Euler
* Gay-Lussac
* Hooke
* Pascal
* Newton
* Navier
* Stokes

* v
* t
* e

## Definitions

### The fourth state of matter

Plasma is called the fourth state of matter after solid, liquid, and gas.[16][17][18] 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.[19][20]

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.[21][22]

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:

State

Property

| Gas | Plasma

|
|

Interactions  | Short-range: Two-particle (binary) collisions are the rule.  | Long-range: Collective motion of particles is ubiquitous in plasma, resulting in various waves and other types of collective phenomena.
Electrical conductivity  | Very low: Gases are excellent insulators up to electric field strengths of tens of kilovolts per centimetre.[23] | Very high: For many purposes, the conductivity of a plasma may be treated as infinite.
Independently acting species  | One: 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 charges 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.

### Ideal plasma

Three factors define an ideal plasma:[24][25]

* The plasma approximation: The plasma approximation applies when the plasma parameter Λ,[26] representing the number of charge carriers within the Debye sphere is much higher than unity.[19][20] It can be readily shown that this criterion is equivalent to smallness of the ratio of the plasma electrostatic and thermal energy densities. Such plasmas are called weakly coupled.[27]
* Bulk interactions: The Debye length is much smaller than the physical size of the plasma. This criterion means that interactions in the bulk of the plasma are more important than those at its edges, where boundary effects may take place. When this criterion is satisfied, the plasma is quasineutral.[28]
* Collisionlessness: The electron plasma frequency (measuring plasma oscillations of the electrons) is much larger than the electron–neutral collision frequency. When this condition is valid, electrostatic interactions dominate over the processes of ordinary gas kinetics. Such plasmas are called collisionless.[29]

### Non-neutral plasma

Main article: Physics:Non-neutral plasmas

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.[30]

### Dusty plasma

Main article: Astronomy: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.[31]

## 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.[32]

### Density and ionization degree

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

α=nini+nn,

where ni is the ion density and nn the neutral density (in number of particles per unit volume). In the case of fully ionized matter, α=1. Because of the quasineutrality of plasma, the electron and ion densities are related by ne=⟨Zi⟩ni, where ⟨Zi⟩ 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[33]—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.[34] The opposite case is the z-pinch plasma where the ion temperature may exceed that of electrons.[35]

### 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.[36] Plasma temperatures can approach 30000 K and electron densities may exceed 1024 m−3.

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 (ne=⟨Z⟩ni), 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.[37]

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: ne∝exp⁡(eΦ/kBTe).

Differentiating this relation provides a means to calculate the electric field from the density: E→=kBTee∇nene.

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.[38]

### 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., νce/νcoll>1, where νce is the electron gyrofrequency and νcoll 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 𝐯 in the magnetic field 𝐁 is given by the usual Lorentz formula 𝐄=−𝐯×𝐁, and is not affected by Debye shielding.[39]

## Mathematical descriptions

The complex self-constricting magnetic field lines and current paths in a field-aligned Birkeland current that can develop in a plasma.[40]

Main article: Physics:Plasma modeling

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.Lua error: Internal error: The interpreter exited with status 1. 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,[41] 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.Lua error: Internal error: The interpreter exited with status 1.

### 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.Lua error: Internal error: The interpreter exited with status 1.

## Plasma science and technology

Plasmas are studied by the vast academic field of plasma science or plasma physics, including several sub-disciplines such as space plasma physics.

Plasmas can appear in nature in various forms and locations, with a few examples given in the following table:

Common forms of plasma  Artificially produced  | Terrestrial plasmas  | Space and astrophysical plasmas

|
|

* In plasma displays, including TV screens.
* Inside fluorescent lamps (low energy lighting), neon signs
* Rocket exhaust and ion thrusters
* The area in front of a spacecraft's heat shield during re-entry into the atmosphere
* Plasmas in fusion energy research
* Plasma globe (sometimes called plasma sphere or plasma ball)
* Laser-produced plasmas (LPP), found when high power lasers interact with materials

* Lightning
* The magnetosphere contains plasma in the Earth's surrounding space environment
* The ionosphere
* The polar aurorae
* Upper-atmospheric lightning, including sprites, blue jets, blue starters, gigantic jets, ELVESs
* St. Elmo's fire
* Fire (if sufficiently hot)

* Stars (plasmas heated by nuclear fusion)
* The solar wind
* The interplanetary medium (space between planets)
* The interstellar medium (space between star systems)
* The Intergalactic medium
(space between galaxies)
* Accretion disks
* Interstellar nebulae

### Space and astrophysics

Lua error: Internal error: The interpreter exited with status 1. Plasmas are by far the most common phase of ordinary matter in the universe, both by mass and by volume.[42]

Above the Earth's surface, the ionosphere is a plasma,[43] and the magnetosphere contains plasma.[44] 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 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.[45] Plasma is associated with ejection of material in astrophysical jets, which have been observed with accreting black holes[46] or in active galaxies like M87's jet that possibly extends out to 5,000 light-years.[47]

### 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 microwaveLua error: Internal error: The interpreter exited with status 1.
* 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)Lua error: Internal error: The interpreter exited with status 1.
* The degree of ionization within the plasma—fully, partially, or weakly ionizedLua error: Internal error: The interpreter exited with status 1.
* The temperature relationships within the plasma—thermal plasma (Te=Ti=Tgas), non-thermal or "cold" plasma (Te≫Ti=Tgas)Lua error: Internal error: The interpreter exited with status 1.
* The electrode configuration used to generate the plasmaLua error: Internal error: The interpreter exited with status 1.
* 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)Lua error: Internal error: The interpreter exited with status 1.

#### Generation of artificial plasma

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.[48] 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).Lua error: Internal error: The interpreter exited with status 1.

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.[49] 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",[50] mainly due to a small mean free path (average distance travelled between collisions).Lua error: Internal error: The interpreter exited with status 1.

##### Electric arc

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.

Electric arc is a continuous electric discharge between two electrodes, similar to lightning. With ample current density, the discharge forms a luminous arc, where the inter-electrode material (usually, a gas) undergoes various stages — saturation, breakdown, glow, transition, and thermal arc. The voltage rises to its maximum in the saturation stage, and thereafter it undergoes fluctuations of the various stages, while the current progressively increases throughout.[50] Electrical resistance along the arc creates heat, which dissociates more gas molecules and ionizes the resulting atoms. Therefore, the electrical energy is given to electrons, which, due to their great mobility and large numbers, are able to disperse it rapidly by elastic collisions to the heavy particles.[51]

#### Examples of industrial plasma

Plasmas find applications in many fields of research, technology and industry, for example, in industrial and extractive metallurgy,[51][52] surface treatments such as plasma spraying (coating), etching in microelectronics,[53] metal cutting[54] and welding; as well as in everyday vehicle exhaust cleanup and fluorescent/luminescent lamps,[48] fuel ignition, and even in supersonic combustion engines for aerospace engineering.[55]

##### 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.[56]
* 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.[57]
* 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.[58]
* 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).[59]

##### 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.Lua error: Internal error: The interpreter exited with status 1.
* 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.Lua error: Internal error: The interpreter exited with status 1.
* 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.[60] It is also widely used in the web treatment of fabrics.[61] The application of the discharge to synthetic fabrics and plastics functionalizes the surface and allows for paints, glues and similar materials to adhere.[62] The dielectric barrier discharge was used in the mid-1990s to show that low temperature atmospheric pressure plasma is effective in inactivating bacterial cells.[63] 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.[64]
* 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.[65]
* "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.Lua error: Internal error: The interpreter exited with status 1.

#### MHD converters

Lua error: Internal error: The interpreter exited with status 1. 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.Lua error: Internal error: The interpreter exited with status 1.

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.[66] 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.Lua error: Internal error: The interpreter exited with status 1.

## 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.Lua error: Internal error: The interpreter exited with status 1. Examples of complexity and complex structures in plasmas include:

### Filamentation

Striations or string-like structures,[67] also known as Birkeland currents, are seen in many plasmas, like the plasma ball, the aurora,[68] lightning,[69] electric arcs, solar flares,[70] and supernova remnants.[71] They are sometimes associated with larger current densities, and the interaction with the magnetic field can form a magnetic rope structure.[72] (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.[73] One interesting aspect of the filamentation generated plasma is the relatively low ion density due to defocusing effects of the ionized electrons.[74] (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.[75] 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.[76] 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.[77]

## Gallery

* Hall-effect thruster

* Solar plasma

* Plasma spraying

* Plasma in a tokamak

* Laboratory plasma

## See also

* Quark-gluon plasma

Phase transitions of matter (v * d * e )  | To

|

Solid | Liquid | Gas | Plasma
From  | Solid  |  | Melting | Sublimation |
Liquid  | Freezing |  | Vaporization |
Gas  | Deposition | Condensation |  | Ionization
Plasma  |  |  | Recombination |

## References

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2. ↑ Chu, P.K.; Lu, XinPel (2013). Low Temperature Plasma Technology: Methods and Applications. CRC Press. p. 3. ISBN 978-1-4665-0990-0.
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8. ↑ Chu, P.K.; Lu, XinPel (2013). Low Temperature Plasma Technology: Methods and Applications. CRC Press. ISBN 978-1-4665-0990-0.
9. ↑ "How Lightning Works". HowStuffWorks. April 2000. http://science.howstuffworks.com/nature/natural-disasters/lightning2.htm.
10. ↑ Morozov, A.I. (2012). Introduction to Plasma Dynamics. CRC Press. p. 4−5. ISBN 978-1-4398-8132-3.
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12. ↑ Langmuir, I. (1928). "Oscillations in Ionized Gases". Proceedings of the National Academy of Sciences 14 (8): 627–637. doi:10.1073/pnas.14.8.627. PMID 16587379. Bibcode: 1928PNAS...14..627L.
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14. ↑ Brown, Sanborn C. (1978). "Chapter 1: A Short History of Gaseous Electronics". Gaseous Electronics. 1. Academic Press. ISBN 978-0-12-349701-7. https://books.google.com/books?id=C1UmeQ_E0_AC&pg=PA1.
15. ↑ Mott-Smith, Harold M. (1971). "History of "plasmas"". Nature 233 (5316): 219. doi:10.1038/233219a0. PMID 16063290. Bibcode: 1971Natur.233..219M.
16. ↑ Frank-Kamenetskii, David A. (1972) (in en). Plasma-The Fourth State of Matter (3rd ed.). New York: Plenum Press. ISBN 9781468418965. https://books.google.com/books?id=Q_vpBwAAQBAJ&q="Plasma-The+Fourth+State+of+Matter"+Frank-Kamenetskii.
17. ↑ Yaffa Eliezer, Shalom Eliezer, The Fourth State of Matter: An Introduction to the Physics of Plasma, Publisher: Adam Hilger, 1989, Lua error: Internal error: The interpreter exited with status 1., 226 pages, page 5
18. ↑ Bittencourt, J.A. (2004). Fundamentals of Plasma Physics. Springer. p. 1. ISBN 9780387209753. https://books.google.com/books?id=qCA64ys-5bUC&pg=PA1.
19. ↑ 19.0 19.1 Chen, Francis F. (1984). Introduction to Plasma Physics and controlled fusion. Springer International Publishing. pp. 2–3. ISBN 9781475755954. https://books.google.com/books?id=WGbaBwAAQBAJ&q=editions:9PGss7GnX-MC.
20. ↑ 20.0 20.1 Freidberg, Jeffrey P. (2008). Plasma Physics and Fusion Energy. Cambridge University Press. p. 121. ISBN 9781139462150. https://books.google.com/books?id=Vyoe88GEVz4C.
21. ↑ 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.
22. ↑ Hazeltine, R.D.; Waelbroeck, F.L. (2004). The Framework of Plasma Physics. Westview Press. ISBN 978-0-7382-0047-7.
23. ↑ Hong, Alice (2000). "Dielectric Strength of Air". in Elert, Glenn. https://hypertextbook.com/facts/2000/AliceHong.shtml.
24. ↑ Dendy, R. O. (1990). Plasma Dynamics. Oxford University Press. ISBN 978-0-19-852041-2. https://books.google.com/books?id=puuQM4Dx0zYC&q=plasma+dynamics+dendy&pg=PR19.
25. ↑ Hastings, Daniel; Garrett, Henry (2000). Spacecraft-Environment Interactions. Cambridge University Press. ISBN 978-0-521-47128-2.
26. ↑ 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. https://books.google.com/books?id=WGbaBwAAQBAJ&q=editions:9PGss7GnX-MC.
27. ↑ Fortov, Vladimir E; Iakubov, Igor T (November 1999). The Physics of Non-Ideal Plasma. WORLD SCIENTIFIC. doi:10.1142/3634. Template:Isbnt. ISBN 978-981-02-3305-1. http://www.worldscientific.com/worldscibooks/10.1142/3634. Retrieved 2021-03-19.
28. ↑ "Quasi-neutrality - The Plasma Universe theory (Wikipedia-like Encyclopedia)" (in en). http://www.plasma-universe.com/Quasi-neutrality.
29. ↑ Klimontovich, Yu L. (1997-01-31). "Physics of collisionless plasma". Physics-Uspekhi 40 (1): 21–51. doi:10.1070/PU1997v040n01ABEH000200. ISSN 1063-7869. http://iopscience.iop.org/article/10.1070/PU1997v040n01ABEH000200/meta. Retrieved 2021-03-19.
30. ↑ Greaves, R. G.; Tinkle, M. D.; Surko, C. M. (1994). "Creation and uses of positron plasmas". Physics of Plasmas 1 (5): 1439. doi:10.1063/1.870693. Bibcode: 1994PhPl....1.1439G.
31. ↑ Morfill, G. E.; Ivlev, Alexei V. (2009). "Complex plasmas: An interdisciplinary research field". Reviews of Modern Physics 81 (4): 1353–1404. doi:10.1103/RevModPhys.81.1353. Bibcode: 2009RvMP...81.1353M.
32. ↑ "Plasma Fountain". https://pwg.gsfc.nasa.gov/istp/news/9812/solar1.html.
33. ↑ Nicholson, Dwight R. (1983). Introduction to Plasma Theory. John Wiley & Sons. ISBN 978-0-471-09045-8.
34. ↑ Hamrang, Abbas (2014). Advanced Non-Classical Materials with Complex Behavior: Modeling and Applications, Volume 1. CRC Press. pp. 10.
35. ↑ Maron, Yitzhak (2020-06-01). "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. Bibcode: 2020PhPl...27f0901M.
36. ↑ NASA Administrator (2013-06-07). "Flashes in the Sky: Earth's Gamma-Ray Bursts Triggered by Lightning" (in en). http://www.nasa.gov/vision/universe/solarsystem/rhessi_tgf.html.
37. ↑ Block, Lars P. (1978). "A double layer review". Astrophysics and Space Science 55 (1): 59–83. doi:10.1007/BF00642580. ISSN 1572-946X. https://doi.org/10.1007/BF00642580. Retrieved 2021-07-15.
38. ↑ 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. pp. 51. ISBN 9780309052313. OCLC 42854229.
39. ↑ Fitzpatrick, Richard. "Magnetized Plasmas". https://farside.ph.utexas.edu/teaching/plasma/lectures/node10.html.
40. ↑ "chapter 15". https://history.nasa.gov/SP-345/ch15.htm#250.
41. ↑ Roy, Subrata; Pandey, B. P. (September 2002). "Numerical investigation of a Hall thruster plasma". Physics of Plasmas 9 (9): 4052–4060. doi:10.1063/1.1498261. Bibcode: 2002PhPl....9.4052R.
42. ↑ Gurnett, D. A.; Bhattacharjee, A. (2005-01-06) (in en). Introduction to Plasma Physics: With Space and Laboratory Applications. Cambridge University Press. ISBN 978-0-521-36483-6. https://books.google.com/books?id=VcueZlunrbcC&pg=PA2%7CPAGE=2%7CISBN=978-0-521-36483-6%7CPUBLISHER. Scherer, K.; Fichtner, H.; Heber, B. (2005). Space Weather: The Physics Behind a Slogan. Berlin: Springer. p. 138. ISBN 978-3-540-22907-0. https://books.google.com/books?id=irHgIUtLi0gC&pg=PA138. .
43. ↑ Kelley, M. C. (2009). The Earth's Ionosphere: Plasma Physics and Electrodynamics (2nd ed.). Academic Press. ISBN 9780120884254.
44. ↑ Russell, C.T. (1990). "The Magnetopause". Physics of Magnetic Flux Ropes. Geophysical Monograph Series 58: 439–453. doi:10.1029/GM058p0439. ISBN 0-87590-026-7. Bibcode: 1990GMS....58..439R. http://www-ssc.igpp.ucla.edu/ssc/tutorial/magnetopause.html. Retrieved 25 August 2018.
45. ↑ Mészáros, Péter (2010-09-16) (in en). The High Energy Universe: Ultra-High Energy Events in Astrophysics and Cosmology. Cambridge University Press. ISBN 978-1-139-49072-6. https://books.google.com/books?id=NXvE_zQX5kAC&dq=%22Black%20hole%22%20plasma%20acreting&pg=PA99.
46. ↑ Raine, Derek J.; Thomas, Edwin George (2010) (in en). Black Holes: An Introduction. Imperial College Press. ISBN 978-1-84816-382-9. https://books.google.com/books?id=O3puAMw5U3UC&pg=PA160.
47. ↑ "APOD: 2004 December 11 - M87's Energetic Jet". https://apod.nasa.gov/apod/ap041211.html.
48. ↑ 48.0 48.1 Hippler, R., ed (2008). "Plasma Sources". Low Temperature Plasmas: Fundamentals, Technologies, and Techniques (2nd ed.). Wiley-VCH. ISBN 978-3-527-40673-9.
49. ↑ Chen, Francis F. (1984). Plasma Physics and Controlled Fusion. Plenum Press. ISBN 978-0-306-41332-2. https://books.google.com/books?id=WGbaBwAAQBAJ&q=editions:9PGss7GnX-MC.
50. ↑ 50.0 50.1 Leal-Quirós, Edbertho (2004). "Plasma Processing of Municipal Solid Waste". Brazilian Journal of Physics 34 (4B): 1587–1593. doi:10.1590/S0103-97332004000800015. Bibcode: 2004BrJPh..34.1587L.
51. ↑ 51.0 51.1 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.
52. ↑ Szałatkiewicz, J. (2016). "Metals Recovery from Artificial Ore in Case of Printed Circuit Boards, Using Plasmatron Plasma Reactor". Materials 9 (8): 683–696. doi:10.3390/ma9080683. PMID 28773804. Bibcode: 2016Mate....9..683S.
53. ↑ National Research Council (1991). Plasma Processing of Materials : Scientific Opportunities and Technological Challenges. National Academies Press. ISBN 978-0-309-04597-1.
54. ↑ 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. doi:10.1088/0022-3727/39/22/R01. Bibcode: 2006JPhD...39R.423N.
55. ↑ Peretich, M.A.; O'Brien, W.F.; Schetz, J.A. (2007). Plasma torch power control for scramjet application. Virginia Space Grant Consortium. http://www.vsgc.odu.edu/src/SRC07/SRC07papers/Mark Peretich _ PaperFinal Report.pdf. Retrieved 12 April 2010.
56. ↑ Stern, David P.. "The Fluorescent Lamp: A plasma you can use". http://www-spof.gsfc.nasa.gov/Education/wfluor.html.
57. ↑ Sobolewski, M.A.; Langan & Felker, J.G. & B.S. (1997). "Electrical optimization of plasma-enhanced chemical vapor deposition chamber cleaning plasmas". Journal of Vacuum Science and Technology B 16 (1): 173–182. doi:10.1116/1.589774. Bibcode: 1998JVSTB..16..173S. http://physics.nist.gov/MajResProj/rfcell/Publications/MAS_JVSTB16_1.pdf.
58. ↑ Okumura, T. (2010). "Inductively Coupled Plasma Sources and Applications". Physics Research International 2010: 1–14. doi:10.1155/2010/164249.
59. ↑ Plasma Chemistry. Cambridge University Press. 2008. p. 229. ISBN 9781139471732. https://books.google.com/books?id=ZzmtGEHCC9MC&pg=PA229.
60. ↑ 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. doi:10.1063/1.4942979. Bibcode: 2016AIPA....6b5322R.
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62. ↑ 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. doi:10.1016/j.jcis.2008.09.062. PMID 18930244. Bibcode: 2008JCIS..328..412L.
63. ↑ Laroussi, M. (1996). "Sterilization of contaminated matter with an atmospheric pressure plasma". IEEE Transactions on Plasma Science 24 (3): 1188–1191. doi:10.1109/27.533129. Bibcode: 1996ITPS...24.1188L.
64. ↑ Lu, X.; Naidis, G.V.; Laroussi, M.; Ostrikov, K. (2014). "Guided ionization waves: Theory and experiments". Physics Reports 540 (3): 123. doi:10.1016/j.physrep.2014.02.006. Bibcode: 2014PhR...540..123L.
65. ↑ 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. doi:10.1063/1.1323753. Bibcode: 2001JAP....89...20P. https://zenodo.org/record/1231852.
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68. ↑ Grydeland, T. (2003). "Interferometric observations of filamentary structures associated with plasma instability in the auroral ionosphere". Geophysical Research Letters 30 (6): 1338. doi:10.1029/2002GL016362. Bibcode: 2003GeoRL..30.1338G.
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