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Nonlinear Nonequilibrium Thermodynamics I

Linear and Nonlinear Fluctuation-Dissipation Theorems

  • Book
  • © 1992

Overview

Authors:
  1. Rouslan L. Stratonovich

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

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Part of the book series: Springer Series in Synergetics (SSSYN, volume 57)

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Table of contents (6 chapters)

  1. Front Matter

    Pages I-XVI
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  2. Introduction

    • Rouslan L. Stratonovich
    Pages 1-24

  3. Auxiliary Information Concerning Probability Theory and Equilibrium Thermodynamics

    • Rouslan L. Stratonovich
    Pages 25-58

  4. The Generating Equation of Markov Nonlinear Nonequilibrium Thermodynamics

    • Rouslan L. Stratonovich
    Pages 59-107

  5. Consequences of the Markov Generating Equation

    • Rouslan L. Stratonovich
    Pages 108-170

  6. Fluctuation-Dissipation Relations of Non-Markov Theory

    • Rouslan L. Stratonovich
    Pages 171-267

  7. Some Uses of Non-Markov FDRs

    • Rouslan L. Stratonovich
    Pages 268-331

  8. Back Matter

    Pages 332-361
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Keywords

About this book

This book gives the first detailed coherent treatment of a relatively young branch of statistical physics - nonlinear nonequilibrium and fluctuation-dissipative thermo­ dynamics. This area of research has taken shape fairly recently: its development began in 1959. The earlier theory -linear nonequilibrium thermodynamics - is in principle a simple special case of the new theory. Despite the fact that the title of this book includes the word "nonlinear", it also covers the results of linear nonequilibrium thermodynamics. The presentation of the linear and nonlinear theories is done within a common theoretical framework that is not subject to the linearity condition. The author hopes that the reader will perceive the intrinsic unity of this discipline, and the uniformity and generality of its constituent parts. This theory has a wide variety of applications in various domains of physics and physical chemistry, enabling one to calculate thermal fluctuations in various nonlinear systems. The book is divided into two volumes. Fluctuation-dissipation theorems (or relations) of various types (linear, quadratic and cubic, classical and quantum) are considered in the first volume. Here one encounters the Markov and non-Markov fluctuation-dissipation theorems (FDTs), theorems of the first, second and third kinds. Nonlinear FDTs are less well known than their linear counterparts.

Authors and Affiliations

  • Physics Department, Moscow State University, Moscow, Russia

    Rouslan L. Stratonovich

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