Stochastic Models of Structural Plasma Turbulence (VSP, Leiden, 2006), Ed. by V. Yu. Korolev and N. N. Skvortsova
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Stochastic Models of Structural Plasma Turbulence (VSP, Leiden, 2006), Ed. by V. Yu. Korolev and N. N. Skvortsova DOI: 10.1134/S1063780X07020110
In 2006, VSP International Science Publishers brought out a collection of ten review articles under the title Stochastic Models of Structural Plasma Turbulence (Ed. by V. Yu. Korolev and N. N. Skvortsova). It is rather unusual that the book dealing with experimental studies and modeling of low-frequency (LF) plasma turbulence was published in the series “Modern Probability and Statistics,” which is devoted to fundamental mathematical problems. The articles are based on reports presented at the seminar “Stochastic Structures in Plasma Turbulence,” which arose from discussions of physicists from the Prokhorov Institute of General Physics of the Russian Academy of Sciences and mathematicians from Moscow State University. The coordinators of the seminar are V.Yu. Korolev (Moscow State University) and N.N. Skvortsova (Prokhorov Institute of General Physics). The seminar is aimed at elaborating adequate mathematical models of LF plasma turbulence capable of incorporating statistical properties of the experimentally observed turbulent pulsations, such as a nonGaussian character of the probability distribution functions (PDFs) and a nontrivial behavior of the correlation functions. It is these statistical properties that determine the specific features of the recently revealed turbulent state of plasma—strong structural (SS) turbulence—that arises in a quasi-steady plasma with stationary energy sources and sinks due to the development of transient processes: the onset and nonlinear saturation of various types of instabilities and the formation of nonlinear stochastic plasma structures. Among the participants of the seminar were experts from the Prokhorov Institute of General Physics, Kurchatov Institute, Moscow State University, Saratov State University, Bauman State Technical University, Ulyanovsk State University, and Ufa State Aviation Technical University. The collection of papers is organized as follows. The first articles are devoted to experimental studies and mathematical modeling of LF plasma turbulence in various types of devices. These articles are followed by papers dealing with experimental studies of particle transport in turbulent plasmas. The book is concluded with papers devoted to mathematical models of nonGaussian processes of particle random walk and application of these models to describing plasma turbulence. The articles present both a description of experiments
on plasma turbulence and results of computer simulations of this phenomenon. The book begins with the paper “Ion-Acoustic Structural Turbulence in a Low-Temperature Magnetized Plasma,” devoted to studies of LF plasma turbulence in the TAU-1 model device. The state of SS turbulence in TAU-1 was investigated in detail by analyzing time samples of the density and potential fluctuations with lengths of up to one million readings from different spatial regions of the plasma. An analysis of these tim
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