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Statistical Theory of Open Systems

Volume 1: A Unified Approach to Kinetic Description of Processes in Active Systems

  • Book
  • © 1995

Overview

Authors:
  1. Yu. L. Klimontovich

    1. Department of Theoretical Physics, Moscow State University, Moscow, Russia

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Part of the book series: Fundamental Theories of Physics (FTPH, volume 67)

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Table of contents (24 chapters)

  1. Front Matter

    Pages i-xv
    Download chapter PDF

  2. Introduction

    • Yu. L. Klimontovich
    Pages 1-34

  3. Dynamic and Statistical Description of Processes in Macroscopic Systems

    • Yu. L. Klimontovich
    Pages 35-46

  4. Statistical Theory of Equilibrium State

    • Yu. L. Klimontovich
    Pages 47-67

  5. Distributions of Functions of Dynamic Variables. Fluctuations of Internal Parameters

    • Yu. L. Klimontovich
    Pages 68-87

  6. Methods of Distribution Functions and Microscopic Phase Density

    • Yu. L. Klimontovich
    Pages 88-101

  7. Boltzmann Kinetic Equation

    • Yu. L. Klimontovich
    Pages 102-116

  8. From BBGKY Equations to Kinetic Equations for Boltzmann Gas

    • Yu. L. Klimontovich
    Pages 117-129

  9. Kinetic Theory of Nonideal Gas

    • Yu. L. Klimontovich
    Pages 130-141

  10. Kinetic Theory of Fluctuations

    • Yu. L. Klimontovich
    Pages 142-158

  11. Langevin Method in Kinetic Theory of Fluctuations

    • Yu. L. Klimontovich
    Pages 159-171

  12. From Kinetic Boltzmann Equation to Equations of Gas Dynamics

    • Yu. L. Klimontovich
    Pages 172-187

  13. Thermodynamics of Nonequilibrium Irreversible Processes

    • Yu. L. Klimontovich
    Pages 188-212

  14. Unified Description of Kinetic and Hydrodynamic Processes

    • Yu. L. Klimontovich
    Pages 213-234

  15. Transition from Generalized Kinetic Equation to Equations of Gas Dynamics

    • Yu. L. Klimontovich
    Pages 235-257

  16. Nonlinear Brownian Motion

    • Yu. L. Klimontovich
    Pages 258-299

  17. Examples of Nonlinear Brownian Motion

    • Yu. L. Klimontovich
    Pages 300-334

  18. Nonlinear Brownian Motion. Unified Description of Kinetic, Hydrodynamic and Diffusion Processes

    • Yu. L. Klimontovich
    Pages 335-360

  19. Kinetic Theory of Active Media

    • Yu. L. Klimontovich
    Pages 361-386

  20. Kinetic Theory of Fluctuations in Active Media

    • Yu. L. Klimontovich
    Pages 387-420
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Keywords

About this book

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.

Authors and Affiliations

  • Department of Theoretical Physics, Moscow State University, Moscow, Russia

    Yu. L. Klimontovich

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