Nonlinear Nonequilibrium Thermodynamics I

Linear and Nonlinear Fluctuation-Dissipation Theorems

  • Rouslan L. Stratonovich

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

Table of contents

  1. Front Matter
    Pages I-XVI
  2. Rouslan L. Stratonovich
    Pages 1-24
  3. Rouslan L. Stratonovich
    Pages 108-170
  4. Rouslan L. Stratonovich
    Pages 171-267
  5. Rouslan L. Stratonovich
    Pages 268-331
  6. Back Matter
    Pages 332-361

About this book

Introduction

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.

Keywords

fluctuation-dissipation theorems nonequilibrium thermodynamics nonlinear systems statistical physics thermodynamics

Authors and affiliations

  • Rouslan L. Stratonovich
    • 1
  1. 1.Physics DepartmentMoscow State UniversityMoscowRussia

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-77343-3
  • Copyright Information Springer-Verlag Berlin Heidelberg 1992
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-642-77345-7
  • Online ISBN 978-3-642-77343-3
  • Series Print ISSN 0172-7389
  • About this book