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Thermodynamics and Fluctuations far from Equilibrium

  • Book
  • © 2008

Overview

Authors:
  1. John Ross

    1. Department of Chemistry, Stanford University, 94305-5080, Stanford, USA

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  • Covers the science of thermodynamic systems far from equilibrium
  • Deals with the related theory of thermodynamics and its application to chemical and biological systems as well as to transport processes
  • Both a reference work for researchers and a study text for graduate students
  • Includes supplementary material: sn.pub/extras

Part of the book series: Springer Series in Chemical Physics (CHEMICAL, volume 90)

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Table of contents (20 chapters)

  1. Front Matter

    Pages i-xii
    Download chapter PDF

  2. Thermodynamics and Fluctuations Far from Equilibrium

    1. Introduction to Part I

      Pages 3-10

    2. Thermodynamics Far from Equilibrium: Linear and Nonlinear One-Variable Systems

      Pages 11-21

    3. Thermodynamic State Function for Single and Multivariable Systems

      Pages 23-32

    4. Continuation of Deterministic Approach for Multivariable Systems

      Pages 33-39

    5. Thermodynamic and Stochastic Theory of Reaction–Diffusion Systems

      Pages 41-58

    6. Stability and Relative Stability of Multiple Stationary States Related to Fluctuations

      Pages 59-64

    7. Experiments on Relative Stability in Kinetic Systems with Multiple Stationary States

      Pages 65-71

    8. Thermodynamic and Stochastic Theory of Transport Processes

      Pages 73-88

    9. Thermodynamic and Stochastic Theory for Non-Ideal Systems

      Pages 89-93

    10. Electrochemical Experiments in Systems Far from Equilibrium

      Pages 95-100

    11. Theory of Determination of Thermodynamic and Stochastic Potentials from Macroscopic Measurements

      Pages 101-109

  3. Dissipation and Efficiency in Autonomous and Externally Forced Reactions, Including Several Biochemical Systems

    1. Dissipation in Irreversible Processes

      Pages 113-120

    2. Efficiency of Irreversible Processes

      Pages 121-129

    3. Finite-Time Thermodynamics

      • R. Stephen Berry
      Pages 131-146

    4. Reduction of Dissipation in Heat Engines by Periodic Changes of External Constraints

      Pages 147-158

    5. Dissipation and Efficiency in Biochemical Reactions

      Pages 159-168

    6. Three Applications of Chapter 16

      Pages 169-179

  4. Stochastic Theory and Fluctuations in Systems Far from Equilibrium, Including Disordered Systems

    1. Fluctuation–Dissipation Relations

      Pages 183-189

    2. Fluctuations in Limit Cycle Oscillators

      Pages 191-195
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Keywords

About this book

Thermodynamics is one of the foundations of science. The subject has been developed for systems at equilibrium for the past 150 years. The story is di?erent for systems not at equilibrium, either time-dependent systems or systems in non-equilibrium stationary states; here much less has been done, even though the need for this subject has much wider applicability. We have been interested in, and studied, systems far from equilibrium for 40 years and present here some aspects of theory and experiments on three topics: Part I deals with formulation of thermodynamics of systems far from equilibrium, including connections to ?uctuations, with applications to n- equilibrium stationary states and approaches to such states, systems with multiple stationary states, reaction di?usion systems, transport properties, andelectrochemicalsystems. Experimentsto substantiatethe formulationare also given. In Part II, dissipation and e?ciency in autonomous and externally forced reactions, including several biochemical systems, are explained. Part III explains stochastic theory and ?uctuations in systems far from equilibrium, ?uctuation–dissipation relations, including disordered systems. We concentrate on a coherent presentation of our work and make conn- tions to related or alternative approaches by other investigators. There is no attempt of a literature survey of this ?eld. We hope that this book will help and interest chemists, physicists, b- chemists, and chemical and mechanical engineers. Sooner or later, we expect this book to be introduced into graduate studies and then into undergraduate studies, and hope that the book will serve the purpose.

Reviews

From the reviews:

"Generalizing thermodynamics to treat … nonequilibrium situations is the subject matter of ‘Thermodynamics and Fluctuations far from Equilibrium,’ by John Ross. Because nonequilibrium thermodynamics lies at the heart of many diverse real processes, the book’s subject matter should prove useful to a wide audience including, among others, physicists, chemists, biologists, and engineers. … This book is a welcome contribution to the topic." (Raymond Kapral, Chemical and Engineering News, Vol. 86 (36), 2008)

Authors and Affiliations

  • Department of Chemistry, Stanford University, 94305-5080, Stanford, USA

    John Ross

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