Kinetic Theory of a Weakly-Nonideal Spatially Nonuniform Polarizable Plasma

Belyi, V. V.; Kukharenko, Yu Y.A.; Wallenborn, Jean

doi:10.1002/1521-3986(200201)42:1<3::aid-ctpp3>3.0.co;2-2

Cited by 10 publications

(6 citation statements)

References 27 publications

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“…For the homogeneous case, this non-trivial result was obtained in our previous work [36]. This result was extended to inhomogeneous systems [37]. Here, we want to stress that the non-local effects appear due to the slow time and space dependencies μr and μt .…”

Section: (A) Langevin Approachsupporting

confidence: 54%

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Fluctuations out of equilibrium

Belyi

2018

Phil. Trans. R. Soc. A.

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A generalized fluctuation–dissipation theorem involving slowly varying parameters is presented. Application of the Langevin method, the method of moments and of a multiscale technique reveal that not only dissipation but also dispersive contributions determine the spectral functions of fluctuations in arbitrary statistical systems. The non-Joule dispersive contribution is characterized by a novel non-local effect due to the additional phase shift between the force and the response of the system. This phase shift occurs as a result of parametric control to the system. The general formalism is illustrated by concrete examples and applications. This article is part of the theme issue ‘Dissipative structures in matter out of equilibrium: from chemistry, photonics and biology (part 2)’.

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Section: (A) Langevin Approachsupporting

confidence: 54%

“…The parameters of a system in a local equilibrium state can be changed adiabatically on a scale greater than the particle mean free path. Inhomogeneity and non-stationarity of plasma fluctuations are manifested via a non-local dependence upon time [36] and coordinates [37]. The FDT for a non-local plasma was given in our paper [38].…”

Section: Introductionmentioning

confidence: 99%

Fluctuations out of equilibrium

Belyi

2018

Phil. Trans. R. Soc. A.

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“…For the homogeneous case this non-trivial result was obtained for the first time in our previous work [13]. This result was extended to inhomogeneous systems [14]. Here we want to stress that the nonlocal effects appear due to the slow time and space dependencies µr ′ and µt ′ .…”

Section: Resultsmentioning

confidence: 57%

“…The parameters of a system in a local equilibrium state can be changed adiabatically on a scale greater than the particle mean free path. Inhomogeneity and nonstationarity of plasma fluctuations are manifested via a non-local dependence upon time [13] and coordinates [14]. The FDT for a non-local plasma was given in our paper [15].…”

Section: Introductionmentioning

confidence: 99%

Thomson scattering in inhomogeneous plasmas: The Role of the Fluctuation-Dissipation Theorem

Belyi

2018

Sci Rep

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A self-consistent kinetic theory of Thomson scattering of an electromagnetic field by a non-uniform plasma is derived. We draw the readers’ attention to the inconsistency in recent results on the Thomson scattering in inhomogeneous plasma, which leads to violation of the Fluctuation-Dissipation Theorem. We show, that not only the imaginary part, but also the derivatives of the real part of the dielectric susceptibility determine the amplitude and the width of the Thomson scattering spectral lines. As a result of inhomogeneity, these properties become asymmetric with respect to inversion of the sign of the frequency. A method is proposed for measuring local gradients of the electron density with the aid of Thomson scattering.Arising from: P. Kozlowski, et al. Sci. Rep. 6, 24283 (2016); 10.1038/srep24283.

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“…However, the equation for the spectral function was not solved, and the collision integral was obtained only in the averaged potential approximation. The non-linear kinetic equation, which generalized the Balescu-Lenard (BL) equation [10], [11] for a spatiallyuniform weakly non-ideal multicomponent classical plasma has been obtained in [12] and for a non-uniform plasma in [13]. Starting from the quantum BBGKY-hierarchy for the distribution function we have solved, in the so-called plasma approximation the equation for the quantum pair correlation function, the non-Marcovian correction included.…”

mentioning

confidence: 99%

Exchange Correlation of Particles and Quantum Collision Integral in a Non‐Ideal Plasma with Polarization

Belyi¹,

Kukharenko

2007

Contrib. Plasma Phys.

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Key words Plasma quantum kinetic equation, exchange scattering, quantum collision integral. PACS 52.25. Dg, 52.27.Aj, 52.20.Fs, 52.20.Hv Starting with the quantum BBGKY-hierarchy for the distribution functions, we have obtained the quantum non-Marcovian kinetic equation including the dynamical screening of the interaction potential, which exactly takes into account the exchange scattering in the plasma. The collision integral is expessed in terms of the Green function of the linearized Hartree -Fock equation.This quantum kinetic equation satisfies the law of total energy conservation with account of the polarization and exchange interaction.

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Kinetic Theory of a Weakly-Nonideal Spatially Nonuniform Polarizable Plasma

Cited by 10 publications

References 27 publications

Fluctuations out of equilibrium

Fluctuations out of equilibrium

Thomson scattering in inhomogeneous plasmas: The Role of the Fluctuation-Dissipation Theorem

Exchange Correlation of Particles and Quantum Collision Integral in a Non‐Ideal Plasma with Polarization

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