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)

BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

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

References (96) Cited by (94) Similar articles (20) ↓

E.G. Berezhko, G.F. Krymskii “Acceleration of cosmic rays by shock waves” Sov. Phys. Usp. 31 27–51 (1988)
E.G. Berezhko, G.F. Krymskii “Acceleration of cosmic rays by shock waves” Sov. Phys. Usp. 31 27–51 (1988)
A.M. Bykov, I.N. Toptygin “Instabilities of a multicomponent plasma with accelerated particles and magnetic field generation in astrophysical objects” Phys. Usp. 50 141–174 (2007)
Ya.B. Zel’dovich, S.A. Molchanov et al “Intermittency in random media” Sov. Phys. Usp. 30 353–369 (1987)
L.M. Zelenyi, A.V. Milovanov “Fractal topology and strange kinetics: from percolation theory to problems in cosmic electrodynamics” Phys. Usp. 47 749–788 (2004)
V.P. Silin “Anomalous nonlinear dissipation of high-frequency radio waves in plasma” Sov. Phys. Usp. 15 742–758 (1973)
O.G. Bakunin “Stochastic instability and turbulent transport. Characteristic scales, increments, diffusion coefficients” Phys. Usp. 58 252–285 (2015)
V.P. Budaev, S.P. Savin, L.M. Zelenyi “Investigation of intermittency and generalized self-similarity of turbulent boundary layers in laboratory and magnetospheric plasmas: towards a quantitative definition of plasma transport features” Phys. Usp. 54 875–918 (2011)
R.L. Aptekar, A.M. Bykov et al “Cosmic gamma-ray bursts and soft gamma-repeaters — observations and modeling of extreme astrophysical phenomena (100th anniversary of the Ioffe Institute)” Phys. Usp. 62 739–753 (2019)
V.V. Uchaikin “Fractional phenomenology of cosmic ray anomalous diffusion” Phys. Usp. 56 1074–1119 (2013)
V.N. Tsytovich “Statistical acceleration of particles in a turbulent plasma” Sov. Phys. Usp. 9 370–404 (1966)
V.S. Beskin “Axisymmetric stationary flows in compact astrophysical objects” Phys. Usp. 40 659–688 (1997)
O.G. Bakunin “Reconstruction of streamline topology, and percolation models of turbulent transport” Phys. Usp. 56 243–260 (2013)
L.T. Adzhemyan, N.V. Antonov, A.N. Vasil’ev “Quantum field renormalization group in the theory of fully developed turbulence” Phys. Usp. 39 1193–1219 (1996)
V.L. Ginzburg, V.A. Dogel’ “Some aspects of gamma-ray astronomy” Sov. Phys. Usp. 32 385–415 (1989)
L.A. Bol’shov, P.S. Kondratenko, L.V. Matveev “Nonclassical transport in highly heterogeneous and sharply contrasting media” Phys. Usp. 62 649–659 (2019)
V.V. Yan’kov “Attractors and frozen-in invariants in turbulent plasma” Phys. Usp. 40 477–493 (1997)
B.M. Smirnov “Kinetics of electrons in gases and condensed systems” Phys. Usp. 45 1251–1286 (2002)
L.M. Biberman, V.S. Vorob’ev, I.T. Yakubov “Kinetics of impact-radiation ionization and recombination” Sov. Phys. Usp. 15 375–394 (1973)
K.P. Zybin, V.A. Sirota “Stretching vortex filaments model and the grounds of statistical theory of turbulence” Phys. Usp. 58 556–573 (2015)

The list is formed automatically.