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Uspekhi Fizicheskikh Nauk, 1993, Volume 163, Number 11, Pages 19–56
DOI: https://doi.org/10.3367/UFNr.0163.199311b.0019
(Mi ufn7214)
 

This article is cited in 94 scientific papers (total in 94 papers)

REVIEWS OF TOPICAL PROBLEMS

Particle kinetics in highly turbulent plasmas (renormalization and self-consistent field methods)

A. M. Bykova, I. N. Toptyginb

a Ioffe Institute, St. Petersburg
b Saint-Petersburg State Technical University
Abstract: This review presents methods available for calculating transport coefficients for impurity particles in plasmas with strong long-wave MHD-type velocity and magnetic-field fluctuations, and random ensembles of strong shock fronts. The renormalization of the coefficients of the mean-field equation of turbulent dynamo theory is also considered. Particular attention is devoted to the renormalization method developed by the authors in which the renormalized transport coefficients are calculated from a nonlinear transcendental equation (or a set of such equations) and are expressed in the form of explicit functions of pair correlation tensors describing turbulence. Numerical calculations are reproduced for different turbulence spectra. Spatial transport in a magnetic field and particle acceleration by strong turbulence are investigated. The theory can be used in a wide range of practical problems in plasma physics, atmospheric physics, ocean physics, astrophysics, cosmic-ray physics, and so on.
Received: June 25, 1993
Revised: September 30, 1993
English version:
Physics–Uspekhi, 1993, Volume 36, Issue 11, Pages 1020–1052
DOI: https://doi.org/10.1070/PU1993v036n11ABEH002179
Document Type: Article
PACS: 52.35.Ra, 52.25.Fi, 52.25.Gj, 52.25.Vy, 52.30.Cv, 52.65.Vv
Language: Russian
Citation: A. M. Bykov, I. N. Toptygin, “Particle kinetics in highly turbulent plasmas (renormalization and self-consistent field methods)”, UFN, 163:11 (1993), 19–56; Phys. Usp., 36:11 (1993), 1020–1052
Citation in format AMSBIB
\Bibitem{BykTop93}
\by A.~M.~Bykov, I.~N.~Toptygin
\paper Particle kinetics in highly turbulent plasmas (renormalization and self-consistent field methods)
\jour UFN
\yr 1993
\vol 163
\issue 11
\pages 19--56
\mathnet{http://mi.mathnet.ru/ufn7214}
\crossref{https://doi.org/10.3367/UFNr.0163.199311b.0019}
\transl
\jour Phys. Usp.
\yr 1993
\vol 36
\issue 11
\pages 1020--1052
\crossref{https://doi.org/10.1070/PU1993v036n11ABEH002179}
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  • This publication is cited in the following 94 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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