Non-equilibrium Thermodynamics
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Non-equilibrium Thermodynamics

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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.
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Product details

  • Paperback | 528 pages
  • 137 x 215 x 26mm | 555g
  • New York, United States
  • English
  • Illustrations, unspecified
  • 0486647412
  • 9780486647418
  • 95,587

Table of contents

PREFACE
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 equilbrium
§ 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 (and 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. Furthr properties of the matrix of phenomenological coefficients
§ 6. Gaussian Markoff processes
§ 7. Gaussian Markoff processes: Langevin equations
§ 8. Entropy and random fluctuations
CHAPTER VIII THE FLUCTUATION DISSIPATION THEOREM
§ 1. Introduction
§ 2. The correlation function of stationary processes; the Wiener-Khinchin theorem
§ 3. The principle of casuality; 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 equation
§ 4. The entropy balance equation; Boltmann'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 principle 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
§ 3. Thermodynamic symmetry relations for chemical potentials
§ 4. Diffusion in binary systems
§ 5. Diffusion in multi-component systems
§ 6. Diffusion in rotating systems
§ 7. Thermal diffusion (Soret effect) and Dufour effect
§ 8. Heat conduction and thermal diffusion in reacting systems
CHAPTER XII VISCOUS FLOW AND RELAXATION PHENOMENA
§ 1. Viscous flow in an isotropic fluid
§ 2. Viscous flow in a magnetic field
§ 3. Propagation of sound
§ 4. Acoustical relaxation
§ 5. The influence of viscosity and heat conduction on the propagation of sound
§ 6. Elastic relaxation
CHAPTER XIII ELECTRICAL CONDUCTION
§ 1. Introduction
§ 2. The Maxwell equations
§ 3. Conservation laws and entropy balance in systems without polarization
§ 4. Entropy balance (continued)
§ 5. Electric resistance
§ 6. Thermo-electric potential and Peltier effect
§ 7. Galvanomagnetic and thermomagnetic effects
§ 8. Sedimentation potential and electrophoresis
§ 9. Diffusion and thermal diffusion potentials; thermopotential of a thermocell
CHAPTER XIV IRREVERSIBLE PROCESSES IN POLARIZED SYSTEMS
§ 1. Conservation laws in polarized systems
§ 2. The entropy balance equation in polarized systems
§ 3. Pressure and ponderomotive force
§ 4. The chemical potential in a polarized medium
§ 5. Dielectric and magnetic relaxation
CHAPTER XV DISCONTINUOUS SYSTEMS
§ 1. Introduction
§ 2. Conservation laws
§ 3. Entropy law and entropy balance
§ 4. Phenomenological equations and Onsager reciprocal relations
§ 5. "Thermomolecular pressure effect, thermal effusion and mechano-caloric effect in reacting mixtures"
§ 6. Osmotic pressure and permeability of membranes
§ 7. Electrokinetic effects
§ 8. "Thermomolecular pressure effect, thermal effusion and mechano-caloric effect in reacting mixtures"
§ 9. Electrochemistry
APPENDIX I. On Matrix and tensor notation
APPENDIX II. On thermodynamic relations
APPENDIX III. The Gaussian distribution for macroscopic variables
PROBLEMS
NAME INDEX
SUBJECT INDEX
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