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Springer Series in Synergetics

Nonlinear Nonequilibrium Thermodynamics I

Linear and Nonlinear Fluctuation-Dissipation Theorems

Authors: Stratonovich, Rouslan L.

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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.

Table of contents (6 chapters)

Table of contents (6 chapters)
  • Introduction

    Pages 1-24

    Stratonovich, Professor Dr. Rouslan L.

  • Auxiliary Information Concerning Probability Theory and Equilibrium Thermodynamics

    Pages 25-58

    Stratonovich, Professor Dr. Rouslan L.

  • The Generating Equation of Markov Nonlinear Nonequilibrium Thermodynamics

    Pages 59-107

    Stratonovich, Professor Dr. Rouslan L.

  • Consequences of the Markov Generating Equation

    Pages 108-170

    Stratonovich, Professor Dr. Rouslan L.

  • Fluctuation-Dissipation Relations of Non-Markov Theory

    Pages 171-267

    Stratonovich, Professor Dr. Rouslan L.

Buy this book

eBook $109.00
price for USA in USD
  • ISBN 978-3-642-77343-3
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $149.99
price for USA in USD
  • ISBN 978-3-642-77345-7
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
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Bibliographic Information

Bibliographic Information
Book Title
Nonlinear Nonequilibrium Thermodynamics I
Book Subtitle
Linear and Nonlinear Fluctuation-Dissipation Theorems
Authors
Series Title
Springer Series in Synergetics
Series Volume
57
Copyright
1992
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-77343-3
DOI
10.1007/978-3-642-77343-3
Softcover ISBN
978-3-642-77345-7
Series ISSN
0172-7389
Edition Number
1
Number of Pages
XVI, 361
Topics