Foundations of Statistical Mechanics

Prologue.- References.- 1 The Equations of Classical Hydrodynamics.- A. Rheology.- B. The Conventional Microscopic Connection.- C. Thermodynamics.- D. Critique.- 2 General Theory of Nonequilibria.- A. Theory of the Partition Functional.- 3 Theory of Dynamical Response.- A. Response Functions.- B. Linear Response and Fluctuations.- C. The Scope of Linear Response Theory.- 4 Dynamical Response of Real Systems.- Electric Fields.- Magnetic Fields.- A. Magnetic Polarization.- B. Electric Polarization.- C. Electrical Conductivity.- D. Gyromagnetic Phenomena.- E. Galvanomagnetic Effects.- F. Nonlinear Electromagnetic Response.- 5 General Nonequilibrium Processes.- A. Theory of the Steady State.- B. The Linear Approximation.- C. Higher-Order Terms.- 6 Analysis of Covariance Functions for Simple Fluids.- A. General Properties of Covariance Functions.- B. Calculation of Covariance Functions.- 7 Thermally Driven Systems.- A. Theory of Thermal Driving.- B. Relaxation Processes.- 8 Transport Processes and Hydrodynamics.- A. Linear Transport Processes.- Particle Diffusion.- Thermal Conductivity.- Viscoelasticity.- B. Thermomechanical Processes.- C. The Equations of Hydrodynamics.- D. The Hydrodynamic Limit.- 9 Sound Propagation and Attenuation.- A. The Classical Theory of Sound.- B. Linear Theory of Sound Propagation and Attenuation.- C. Ideal Gases, I: Boltzmann Statistics.- D. Ideal Gases, II: Quantum Statistics.- Epilogue.- Nonlinearities.- Irregular Motion.- References.- Appendix A Operator Calculus and Identities.- Operator Identities.- Time-Evolution Operators.- References.- Appendix B Diagrammatic Analysis of Covariance Functions.- Self-Energy Analysis.- Interaction Models.- Ring Diagrams.- Ladder Diagrams.- Generalized Vertices.- References.- Appendix C The Density CovarianceFunction.- Summation of Ring Diagrams.- Ladder Sum and Hard Spheres.- References.