HEAT AND THERMODYNAMICS
CONTENTS INTRODUCTION PART I FOUNDATIONS OF EQUILIBRIUM STATISTICAL MECHANICS THE CLASSICAL DISTRIBUTION FUNCTION FOUNDATIONS OF EQUILIBRIUM STATISTICAL MECHANICS LIOUVILLE’S THEOREM THE DISTRIBUTION FUNCTION DEPENDS ONLY ON ADDITIVE CONSTANTS OF THE MOTION MICROCANONICAL DISTRIBUTION REFERENCES PROBLEMS QUANTUM MECHANICAL DENSITY MATRIX MICROCANONICAL DENSITY MATRIX REFERENCE THERMODYNAMICS DE?NITION OF ENTROPY THERMODYNAMIC POTENTIALS SOME THERMODYNAMIC RELATIONS AND TECHNIQUES CONSTRAINTS ON THERMODYNAMIC QUANTITIES SEMICLASSICAL LIMIT GENERAL FORMULATION THE PERFECT GAS PART II STATES OF MATTER IN EQUILIBRIUM STATISTICAL PHYSICS PERFECT GASES CLASSICAL PERFECT GAS MOLECULAR IDEAL GAS QUANTUM PERFECT GASES: GENERAL FEATURES QUANTUM PERFECT GASES: DETAILS FOR SPECIAL CASES PERFECT BOSE GAS AT LOW TEMPERATURES PERFECT FERMI GAS AT LOW TEMPERATURES IMPERFECT GASES METHOD I FOR THE CLASSICAL VIRIAL EXPANSION METHOD II FOR THE VIRIAL EXPANSION: IRREDUCIBLE LINKED CLUSTERS APPLICATION OF CUMULANTS TO THE EXPANSION OF THE FREE ENERGY CLUSTER EXPANSION FOR A QUANTUM IMPERFECT GAS (EXTENSION OF METHOD I) GROSS–PITAEVSKII–BOGOLIUBOV THEORY OF THE LOW TEMPERATURE WEAKLY INTERACTING BOSE GAS STATISTICAL MECHANICS OF LIQUIDS DE?NITIONS OF N-PARTICLE DISTRIBUTION FUNCTIONS DETERMINATION OF G(R) BY NEUTRON AND X-RAY SCATTERING BBGKY HIERARCHY APPROXIMATE CLOSED FORM EQUATIONS FOR G(?R) MOLECULAR DYNAMICS EVALUATION OF LIQUID PROPERTIES QUANTUM LIQUIDS AND SOLIDS FUNDAMENTAL POSTULATES OF FERMI LIQUID THEORY MODELS OF MAGNETS PHYSICAL BASIS FOR MODELS OF MAGNETIC INSULATORS: EXCHANGE COMPARISON OF ISING AND LIQUID–GAS SYSTEMS EXACT SOLUTION OF THE PARAMAGNETIC PROBLEM HIGH TEMPERATURE SERIES FOR THE ISING MODEL TRANSFER MATRIX MONTE CARLO METHODS 9 PHASE TRANSITIONS: STATIC PROPERTIES THERMODYNAMIC CONSIDERATIONS CRITICAL POINTS PHENOMENOLOGY OF CRITICAL POINT SINGULARITIES: SCALING MEAN ?ELD THEORY RENORMALIZATION GROUP: GENERAL SCHEME RENORMALIZATION GROUP: THE LANDAU–GINZBURG MODEL PART III DYNAMICS 10 HYDRODYNAMICS AND DE?NITION OF TRANSPORT COEF?CIENTS GENERAL DISCUSSION HYDRODYNAMIC EQUATIONS FOR A CLASSICAL ?UID FLUCTUATION–DISSIPATION RELATIONS FOR HYDRODYNAMIC TRANSPORT COEF?CIENTS 11 STOCHASTIC MODELS AND DYNAMICAL CRITICAL PHENOMENA GENERAL DISCUSSION OF STOCHASTIC MODELS GENERALIZED LANGEVIN EQUATION GENERAL DISCUSSION OF DYNAMICAL CRITICAL PHENOMENA