Theory of Turbulent Plasma

Цытович, В. Н.

doi:10.1007/978-1-4684-7923-2

Cited by 272 publications

(213 citation statements)

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“…Schematically this process can be represented as follows: 13) where g * are the plasmon collective excitations and g are excitations with characteristic momenta of order T . In the theory of the ordinary plasma [22][23][24] this process is known as the nonlinear Landau damping. In the case of QGP it was studied in detail in [10].…”

Section: Preliminary Commentsmentioning

confidence: 99%

“…For the determination of the probability of plasmon-plasmon scattering in a gluon plasma the method developed in the theory of the nonlinear processes in electron-ion plasma and known as the correspondence principle [24,30], is usable. For the non-Abelian plasma this approach is especially effective in the temporal gauge, when we have closer correspondence with the electrodynamics of an ordinary plasma.…”

Section: The Correspondence Principlementioning

confidence: 99%

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The Boltzmann equation for colourless plasmons in hot QCD plasma. Semiclassical approximation

Markov¹,

Markova²

2001

J. Phys. G: Nucl. Part. Phys.

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Within the framework of the semiclassical approximation, we derive the Boltzmann equation describing the dynamics of colorless plasmons in a hot QCD plasma. The probability of the plasmon-plasmon scattering at the leading order in the coupling constant is obtained. This probability is gauge-independent at least in the class of the covariant and temporal gauges. It is noted that the structure of the scattering kernel possesses important qualitative difference from the corresponding one in the Abelian plasma, in spite of the fact that we focused our study on the colorless soft excitations. It is shown that four-plasmon decay is suppressed by the power of g relative to the process of nonlinear scattering of plasmons by thermal particles at the soft momentum scale. It is stated that the former process becomes important in going to the ultrasoft region of the momentum scale.

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Section: Preliminary Commentsmentioning

confidence: 99%

Section: The Correspondence Principlementioning

confidence: 99%

The Boltzmann equation for colourless plasmons in hot QCD plasma. Semiclassical approximation

Markov¹,

Markova²

2001

J. Phys. G: Nucl. Part. Phys.

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“…(19) and (22) breaks down as soon asW p is no longer small as compared to unity. On the other hand, the parameterW p would be limited by unity: the strong field withW p in excess thereof would make the nonlinear interactions very strong and the time-scale of interactions very short; physically an energy flow arises, which would lead to an increment of thermal energy n e T e in a very short period, and thenW p quickly drops to below unity again (Tsytovich 1977). Therefore the minimum time-scale of collapse motion could be got from the self-similar solution (37) as …”

Section: Kg Flux Fragments With Small Scalesmentioning

confidence: 99%

Collapsing magnetic instability to solar intermittent flux and anomalous viscosity in accretion disks

Zhang

2002

A&A

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Abstract. It is shown that the transverse plasmon field is modulationally unstable in the Lyapunov sense, leading to a self-similar collapse of the magnetic flux. Such a collapsing magnetic instability is analyzed in both cases of magnetohydrodynamics and kinetic plasma physics, with their applications to solar intermittent flux and anomalous viscosity in accretion disks, respectively. In the first case, we find that the equilibrium between the ponderomotive force and the Lorentz force in a current sheet gives rise to a more spatially intermittent collapsing magnetic flux, very similar to a turbulent pattern; as a result, the 0.1 kG flux cells with larger scales emerging at the surface from the solar interior become shredded and the flux is thereby contracted rather quickly to a small scale of the order of 100 km as well as concentrated into a 1-2 kG state. In the second case, based on Vlasov equations and Maxwell equations, the collapsing feature of the self-generated magnetic field from transverse plasmons is investigated on rather small scales of the motion or electric current in accretion disks; as the effects of the intermittent magnetic flux, an anomalous magnetic viscosity and an anomalous resistivity are indicated, with a different magnetic Prandtl number, which is not very sensitive to the temperature T .

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“…Most of the discussions found in the literature, however, are concerned with electrostatic problems in unmagnetized plasmas. [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16] The generalization to include transverse electromagnetic waves is of obvious importance in view of its applicability to the solar type II and III radio bursts. In the literature, electromagnetic effects on the weak turbulence theory are often incorporated only in a formal sense.…”

Section: Introductionmentioning

confidence: 99%

“…In the literature, electromagnetic effects on the weak turbulence theory are often incorporated only in a formal sense. [8][9][10]12,[17][18][19][20][21] In many cases, the fundamental equations are given only in terms of formal nonlinear coupling coefficients defined in terms of susceptibility tensors, but unless these susceptibilities are explicitly computed under appropriate approximations, the formalism remains impractical.…”

Section: Introductionmentioning

confidence: 99%

Electromagnetic weak turbulence theory revisited

Yoon

Ziebell

Gaelzer³

et al. 2012

Physics of Plasmas

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The statistical mechanical reformulation of weak turbulence theory for unmagnetized plasmas including fully electromagnetic effects was carried out by Yoon [Phys. Plasmas 13, 022302 (2006)]. However, the wave kinetic equation for the transverse wave ignores the nonlinear three-wave interaction that involves two transverse waves and a Langmuir wave, the incoherent analogue of the so-called Raman scattering process, which may account for the third and higher-harmonic plasma emissions. The present paper extends the previous formalism by including such a term.

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Theory of Turbulent Plasma

Cited by 272 publications

References 0 publications

The Boltzmann equation for colourless plasmons in hot QCD plasma. Semiclassical approximation

The Boltzmann equation for colourless plasmons in hot QCD plasma. Semiclassical approximation

Collapsing magnetic instability to solar intermittent flux and anomalous viscosity in accretion disks

Electromagnetic weak turbulence theory revisited

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