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The Statistical Theory of Non-equilibrium Processes in a Plasma covers the modern statistical theory of non-equilibrium processes in a plasma by a unified method, proceeding from the microscopic equations. The book discusses Maxwell equations for slow and fast processes; magnetohydrodynamic equations; microscopic equations for a plasma; and equations with a self-consistent field (Vlasov equations). The text then describes correlation and spectral function; kinetic equations for a plasma; and Landau equations. It also examines the kinetic equations and expressions for spectral functions when the radiation by plasma waves is taken into account; and the hydrodynamic description of processes in a plasma. Physicists and students taking courses in mechanics and mathematics will find the book invaluable.
This Book Presents A Systematic Exposition Of The Fundamental Principles Involved In Plasma Mechanics. It Also Highlights Some Of The Recent Developments In The Area.The Book Emphasises The Following Topics: * Magnetization By Inverse Faraday Effect * Ionospheric Cross Modulation * Relativistic Vlasov Equations For Waves In Plasmas * Kinetic Theory Of Vlasov For Plasmoidal Equilibrium Structures * Formalism Of Transformation From Laboratory Frame To A Space Independent Frame For Study Of Dispersive Wave.With Its Comprehensive Approach And Detailed Treatment, The Book Would Serve As An Excellent Text For M.Sc. Physics Students As Well As Research Scholars.
Let us begin by quoting from the Preface to the author's Statistical Physics (Moscow, Nauka 1982; also published in English by Harwood in 1986): '''My God! Yet another book on statistical physics! There's no room on my bookshelves left!' Such emotionsare quite understandable. Beforejumping to conclusions, however, it would be worthwhile to read the Introduction and look through the table of contents. Then the reader will find that this book is totally different from the existing courses, fundamental and concise. ... We do not use the conventional division into statistical theories ofequilibrium and nonequilibrium states. Rather than that, the theory ofnonequilibrium state is the basis and the backbone oftheentirecourse. ... This approach allows us to develop a unified method for statistical description ofa very broadclassofsystems. ... The author certainly does not wish to exaggerate the advantages of the book, considering it asjustthe first attemptto create a textbookofa new kind." The next step in this direction was the author's Turbulent Motion and the Structure of Chaos (Moscow, Nauka 1990; Kluwer Academic Publishers 1991). This book is subtitled A New Approach to the Statistical Theory of Open Systems. Naturally, the "new approach" is not meant to defy the consistent and efficient methods of the conventional statistical theory; itshould be regarded as auseful reinforcementofsuch methods.
During the last decade impressive development and signi?cant advance of the physics of nonideal plasmas in astrophysics and in laboratories can be observed, creating new possibilities for experimental research. The enormous progress in laser technology, but also ion beam techniques, has opened new ways for the production and diagnosis of plasmas under extreme conditions, relevant for astrophysics and inertially con?ned fusion, and for the study of laser-matter interaction. In shock wave experiments, the equation of state and further properties of highly compressed plasmas can be investigated. This experimental progress has stimulated the further development of the statistical theory of nonideal plasmas. Many new results for thermodynamic and transport properties, for ionization kinetics, dielectric behavior, for the stopping power, laser-matter interaction, and relaxation processes have been achieved in the last decade. In addition to the powerful methods of quantum statistics and the theory of liquids, numerical simulations like path integral Monte Carlo methods and molecular dynamic simulations have been applied.
This volume contains two papers that review certain theoretical problems that have been studied in the Laboratory of Plasma Accelerators and Plasma Physics of the P. N. Lebedev Physics Institute of the Academy of Sciences of the USSR. The review of R. R. Kikvidze and A. A. Rukhadze, "Theory of oscillations and stability of a semiconductor plasma with low carrier density in a strong electric field," is devoted to a solid-state plasma. The main attention is devoted to the fact that in such a plasma electro magnetic waves are effectively generated if there is a negative current-voltage characteristic in the carrier current; this effect can compete in importance with the well-known Gunn effect. In their fundamental review paper "Nonlinear theory of the interaction of waves in a plasma," V. V. Pustovalov and V. P. SHin set forth the fundamentals of the theory of nonlinear interaction of waves in a hot rarefied plasma. Besides a systematic exposition of the pro cedure for deriving the equations that describe the nonlinear interaction of waves in an iso tropic or an anisotropic (magnetized) plasma, they study many concrete examples relating to the interaction of definite types of waves under different conditions.
Kinetic theory is the link between the non--equilibrium statistical mechanics of many particle systems and macroscopic or phenomenological physics. Therefore much attention is paid in this book both to the derivation of kinetic equations with their limitations and generalizations on the one hand, and to the use of kinetic theory for the description of physical phenomena and the calculation of transport coefficients on the other hand. The book is meant for researchers in the field, graduate students and advanced undergraduate students. At the end of each chapter a section of exercises is added not only for the purpose of providing the reader with the opportunity to test his understanding of the theory and his ability to apply it, but also to complete the chapter with relevant additions and examples that otherwise would have overburdened the main text of the preceding sections. The author is indebted to the physicists who taught him Statistical Mechanics, Kinetic Theory, Plasma Physics and Fluid Mechanics. I gratefully acknowledge the fact that much of the inspiration without which this book would not have been possible, originated from what I learned from several outstanding teachers. In particular I want to mention the late Prof. dr. H. C. Brinkman, who directed my first steps in the field of theoretical plasma physics, my thesis advisor Prof. dr. N. G. Van Kampen and Prof. dr. A. N. Kaufman, whose course on Non-Equilibrium Statistical Mechanics in Berkeley I remember with delight.
This book is an introduction to the field of modern plasma physics theory. The topics have been carefully chosen by the authors after many years teaching a graduate course in this subject. The book contains a comprehensive description of three widely used models in plasma physics: one-particle, hydro-dynamic and kinetic. The original results concerning fluctuation theory, nonlinear wave interaction and plasma turbulence have been obtained within the framework of the kinetic approach. This volume will be of particular interest to graduate students and researchers studying plasma physics as well as statistical physics and magnetohydrodynamics. It will also be of use to students and researchers in physical astronomy, particularly in other space plasma physics such as solar physics and stellar structure. The elements of the kinetic theory of gases.
Statistical Mechanics discusses the fundamental concepts involved in understanding the physical properties of matter in bulk on the basis of the dynamical behavior of its microscopic constituents. The book emphasizes the equilibrium states of physical systems. The text first details the statistical basis of thermodynamics, and then proceeds to discussing the elements of ensemble theory. The next two chapters cover the canonical and grand canonical ensemble. Chapter 5 deals with the formulation of quantum statistics, while Chapter 6 talks about the theory of simple gases. Chapters 7 and 8 examine the ideal Bose and Fermi systems. In the next three chapters, the book covers the statistical mechanics of interacting systems, which includes the method of cluster expansions, pseudopotentials, and quantized fields. Chapter 12 discusses the theory of phase transitions, while Chapter 13 discusses fluctuations. The book will be of great use to researchers and practitioners from wide array of disciplines, such as physics, chemistry, and engineering.