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

A.M. Bykov^a, I.N. Toptygin^b
^aIoffe Institute, ul. Polytekhnicheskaya 26, St. Petersburg, 194021, Russian Federation
^bSt. Petersburg State Polytechnical University, Politekhnicheskaya str. 29, St. Petersburg, 195251, Russian Federation

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.

PACS: 52.35.Ra, 52.25.Fi, 52.25.Gj, 52.25.Vy, 52.30.Cv, 52.65.Vv (all)
DOI: 10.1070/PU1993v036n11ABEH002179
URL: https://ufn.ru/en/articles/1993/11/b/
Citation: Bykov A M, Toptygin I N "Particle kinetics in highly turbulent plasmas (renormalization and self-consistent field methods)" Phys. Usp. 36 (11) 1020–1052 (1993)

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Оригинал: Быков А М, Топтыгин И Н «Кинетика частиц в сильно турбулентной плазме (Методы перенормировок и самосогласованного поля)» УФН 163 (11) 19–56 (1993); DOI: 10.3367/UFNr.0163.199311b.0019

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