Statistical Theory of Heat: Nonequilibrium Phenomena

Front Matter....Pages I-XI
Front Matter....Pages 1-1
Introduction....Pages 3-5
General Equations of Motion of Statistical Physics....Pages 6-13
Small Amplitude Perturbation Theory (Linear Response)....Pages 14-21
Brownian Motion (Relaxator)....Pages 22-28
Brownian Motion (Oscillator)....Pages 29-32
Dispersion Relations and Spectral Representations....Pages 33-36
Symmetry Properties of Correlation Functions....Pages 37-41
Detailed Balance, Fluctuations and Dissipation....Pages 42-44
Scattering of Particles and Light....Pages 45-51
Energy Dissipation, Detailed Balance and Passivity....Pages 52-55
The High-Frequency Behaviour of Response Functions....Pages 56-58
The Low-Frequency Behaviour of Response Functions....Pages 59-62
Stochastic Forces, Langevin Equation....Pages 63-68
Brownian Motion: Langevin Equation....Pages 69-72
Nonlinear Response Theory....Pages 73-77
The Increase of Entropy and Irreversibility....Pages 78-81
The Increase of Entropy: A Critical Discussion....Pages 82-87
Front Matter....Pages 89-89
The Nyquist Formula....Pages 90-92
Thermomechanical Effects....Pages 93-98
Diffusion and Thermodiffusion....Pages 99-103
Front Matter....Pages 89-89
Thermoelectric Effects....Pages 104-107
Chemical Reactions....Pages 108-111
Typical Time Evolutions of Simple Chemical Reactions....Pages 112-115
Coupled Nonlinear Reactions....Pages 116-122
Chemical Fluctuations....Pages 123-126
Sticking, Desorption, Condensation and Evaporation....Pages 127-130
Nucleation....Pages 131-136
The Oscillator with Mechanical and Thermal Attenuation....Pages 137-141
Hydrodynamics....Pages 142-148
Hydrodynamic Long-Time Tails....Pages 149-151
Matter in Electromagnetic Fields....Pages 152-157
Rate Equations (Master Equation, Stosszahlansatz)....Pages 158-163
Kinetic Transport Equations....Pages 164-168
The Dynamic Conductivity in the Relaxation Time Model....Pages 169-176
Zero Sound....Pages 177-179
The Fokker-Planck Approximation....Pages 180-183
Brownian Motion and Diffusion....Pages 184-187
Fokker-Planck and Langevin Equations....Pages 188-192
Transport Equations in the Hydrodynamic Regime....Pages 193-200
The Minimum Entropy Production Variational Principle....Pages 201-211
Front Matter....Pages 213-213
Approximation Methods....Pages 214-216
Correlation Functions for Single-Particle Problems....Pages 217-220
Perturbation Theory for Impurity Conduction....Pages 221-226
Electron-Phonon Conduction....Pages 227-229
Mode Coupling Theory for Impurity Conduction....Pages 230-236
Electron Localization....Pages 237-243
Localization and Quantum Interference....Pages 244-246
Scaling Laws for Dynamic Critical Phenomena....Pages 247-253
Applications of Dynamic Scaling Laws....Pages 254-259
Mode-Coupling Theory for Dynamic Critical Phenomena....Pages 260-263
Broken Symmetry and Low-Frequency Modes....Pages 264-268
Collision Rates....Pages 269-273
Many-Body Effects in Collision Rates....Pages 274-276
Back Matter....Pages 277-290