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## Details

Genre/Form: | Electronic books |
---|---|

Additional Physical Format: | Print version: |

Material Type: | Document, Internet resource |

Document Type: | Internet Resource, Computer File |

All Authors / Contributors: |
S R De Groot |

ISBN: | 1306364418 9781306364416 9780486153506 0486153509 |

OCLC Number: | 868966378 |

Description: | 1 online resource |

Contents: | Title Page; Copyright Page; PREFACE TO THE DOVER EDITION; PREFACE TO THE FIRST EDITION; Table of Contents; CHAPTER I -- INTRODUCTION; 1. Historical Background of Non-Equilibrium Thermodynamics; 2. Systematic Development of the Theory; PART A -- GENERAL THEORY; CHAPTER II -- CONSERVATION LAWS; 1. Introduction; 2. Conservation of Mass; 3. The Equation of Motion; 4. Conservation of Energy; CHAPTER III -- ENTROPY LAW AND ENTROPY BALANCE; 1. The Second Law of Thermodynamics; 2. The Entropy Balance Equation; 3. Alternative Expressions for the Entropy Production. On different Definitions of the Heat Flow 4. Kinetic Energy of Diffusion; CHAPTER IV -- THE PHENOMENOLOGICAL EQUATIONS; 1. The Linear Laws; 2. Influence of Symmetry Properties of Matter on the Linear Laws; Curie Principle; 3. The Onsager Reciprocal Relations; 4. The Differential Equations; CHAPTER V -- THE STATIONARY STATES; 1. Introduction; 2. Mechanical Equilibrium; 3. Stationary States with Minimum Entropy Production; 4. Stationary States without Minimum Entropy Production; CHAPTER VI -- PROPERTIES OF THE PHENOMENOLOGICAL EQUATIONS AND THE ONSAGER RELATIONS. 1. Introduction 2. The Curie Principle; 3. Dependent Fluxes and Thermodynamic Forces; 4. Onsager Relations for Vectorial (axd Tensorial) Phenomena; 5. Transformation Properties of the Onsager Relations; CHAPTER VII -- DISCUSSION OF THE STATISTICAL FOUNDATIONS; 1. Introduction; 2. State Variables and Fluctuations; 3. Microscopic Reversibility; 4. Derivation of the Onsager Reciprocal Relations; 5. Further Properties of the Matrix of Phenomenological Coefficients; 6. Gaussian Markoff Processes; 7. Gaussian Markoff Processes: Langevin Equations. 8. Entropy and Random FluctuationsCHAPTER VIII -- THE FLUCTUATION DISSIPATION THEOREM; 1. Introduction; 2. The Correlation Function of Stationary Processes; the Wiener-Khinchin Theorem; 3. The Principle of Causality; the Kramers-Kronig Relations; 4. Derivation of the Fluctuation Dissipation Theorem; 5. The Entropy Production in a System subjected to External Driving Forces; CHAPTER IX -- DISCUSSION OF FOUNDATIONS BY MEANS OF KINETIC THEORY; 1. Introduction; 2. The Boltzmann Equation; 3. The Hydrodynamic Equations; 4. The Entropy Balance Equation, Boltzmann's H-theorem. 5. The Enskog Method of Solution of the Boltzmann Equation 6. The Entropy Balance Equation in the First Approximation of Enskog; 7. The Onsager Relations; 8. Brownian Motion; PART B -- APPLICATIONS; CHAPTER X -- CHEMICAL REACTIONS AND RELAXATION PHENOMENA; 1. Introduction; 2. Chemical Reactions; 3. Coupled Chemical Reactions; 4. Unimolecular Reactions; the Princible of Detailed Balance; 5. Relaxation Phenomena; 6. Internal Degrees of Freedom; CHAPTER XI -- HEAT CONDUCTION, DIFFUSION AND CROSS-EFFECTS; 1. Heat Conduction; 2. Diffusion. General Remarks. |

### Abstract:

The study of thermodynamics is especially timely today, as its concepts are being applied to problems in biology, biochemistry, electrochemistry, and engineering. This book treats irreversible processes and phenomena -- non-equilibrium thermodynamics. S.R. de Groot and P. Mazur, Professors of Theoretical Physics, present a comprehensive and insightful survey of the foundations of the field, providing the only complete discussion of the fluctuating linear theory of irreversible thermodynamics. The application covers a wide range of topics: the theory of diffusion and heat conduction, fluid dynamics, relaxation phenomena, acoustical relaxation, and the behavior of systems in an electromagnetic field. The statistical foundations of non-equilibrium thermodynamics are treated in detail, and there are special sections on fluctuation theory, the theory of stochastic processes, the kinetic theory of gases, and the derivation of the Onsager reciprocal relations. The implications of causality conditions and of dispersion relations are analyzed in depth. Advanced students will find a great number of challenging problems, with hints for their solutions. Chemists will be especially interested in the applications to electrochemistry and the theory of chemical reactions. Physicists, teachers, scholars, biologists, and anyone interested in the principle and modern applications of non-equilibrium thermodynamics will find this classic monograph an invaluable reference.

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