Heat Capacity of Lattice Vibrations on a OneDimensional Lattice-Exact Solution S7.A.I. Mean Field Theory for a d-Dimensional Lattice 7.G. Exact Solution for a One-Dimensional Lattice 7.F.2. Systems of Indistinguishable Particles Systems of Distinguishable Particles 7.D.3. Fluid Systems The Canonical Ensemble 7.D.1. Introduction The Microcanonical Ensemble Einstein Fluctuation Theory 7.C.1.
Introduction The Liouville Equation of Motion Ergodic Theory and the Foundation of Statistical Mechanics The Quantum Probability Density Operator r. Approximations to the Master Equation References ProblemsĦ.A. Solution of Fokker-Planck Equations with One Variable S5.D.
Probability Flow for Brownian Particle S5.C.3. Master Equation for Birth-Death Processes S5.B.1. The Spectral Density (Power Spectrum) S5.A. HDP://Introduction General Theory Markov Chains 5.C.l. General Form of Infinitely Divisible Distributions S4 1 T _. Two-Dimensional Discrete Random Walk (Levy Flight) S4.E. Continuum Limit of One-Dimensional Discrete Random Walk S4.D.3. Discrete One-Dimensional Random Walk S4.D.2. Infinitely Divisible Distributions S4.B.l. A Central Limit Theorem and Law of Large Numbers 4.F.1. The Gaussian (For Normal) Distribution 4.E.2. Binomial Distributions The Binomial Distribution 4.E.l. Characteristic Functions Jointly Distributed Stochastic Variables 4.D.4. Stochastic Variables and Probability Distribution Functions 4.D.l. The Critical Exponents for Pure PVT Systems Surface Tension Thermomechanical Effect The Critical Exponents for the Curie Point Tricritical Points Binary Mixtures S3.E.l. Liquid He3 _He4 Mixtures Landau Theory 3.G.l. The van der Waals Equation Superconductors The Helium Liquids 3.F.1. Coexistence Curves: Clausius-Clapyron Equation 3.D.3. Introductory Remarks Coexistence of Phases: Gibbs Phase Rule Classification of Phase Transitions Pure PV T Systems 3.D.1. The Joule-Kelvin Effect: Throttling Entropy of Mixing and the Gibbs Paradox Osmotic Pressure in Dilute Solutions The Thermodynamics of Chemical Reactions S2.
Implications of the Stability Requirements for the Free Energies Cooling and Liquefactions of Oases S2.A.1. Conditions for Local Stability in a PVT System 2.H.3. Conditions for Local Equilibrium in a PVT System 2.H.2. Mechanical Response Functions Stability of the Equilibrium State 2.H.1. Thermal Response Functions (Heat Capacity) 2.0.2. Third Law Fundamental Equation of Thermodynamics Thermodynamic Potentials 2.F.l. Curie's Law The Laws of Thermodynamics 2.D.l. This book is dedicated to Ilya Prigogine for his encouragement and support and because he has changed our view of the world.Ģ. 15'95-dc21 Printed in the United States of America 10987654 Includes bibliographical references and index. A modem course in statistical physics/by L. Library of Congress Cataloging-in-Publication Data: Reichl, L.
Requests to the Publisher for permission should be addressed to the Permissions Department, John Wiley & Sons, Inc., 605 Third Avenue, New York, NY 10158-0012, (212) 850-6011, fax (212) 850-6008, E-Mail: PERMREQ WILEYCOM. No part of this publication may be reproduced, stored in a retrieval system or transmitted in any form or by any means, electronic, mechanical, photocopying, recording, scanning or otherwise, except as permitted under Sections 107 or 108 of the 1976 United States Copyright Act, without either the prior written permission of the Publisher, or authorization through payment of the appropriate per-copy fee to the Copyright Clearance Center, 222 Rosewood Drive, Danvers, MA 01923, (508) 750-8400, fax (508) 750-4744. Copyright © 1998 by John Wiley & Sons, Inc. HDP://A Wiley-Interscience Publication JOHN WILEY & SONS, INC. A Modem Course in Statistical Physics 2nd Edition