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Statistical Theory of Heat : Nonequilibrium Phenomena

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概要 This text on the statistical theory of nonequilibrium phenomena grew out of lecture notes for courses on advanced statistical mechanics that were held more or less regularly at the Physics Department ...of the Technical University in Munich. My aim in these lectures was to incorporate various developments of many-body theory made during the last 20-30 years, in particular the correlation function approach, not just as an "extra" alongside the more "classical" results; I tried to use this approach as a unifying concept for the presentation of older as well as more recent results. I think that after so many excellent review articles and advanced treatments, correlation functions and memory kernels are as much a matter of course in nonequilibrium statistical physics as partition functions are in equilibrium theory, and should be used as such in regular courses and textbooks. The relations between correlation functions and earlier vehicles for the formulation of nonequilibrium theory such as kinetic equations, master equations, Onsager's theory, etc. , are discussed in detail in this volume. Since today there is growing interest in nonlinear phenomena I have included several chapters on related problems. There is some nonlinear response theory, some results on phenomenological nonlinear equations and some microscopic applications of the nonlinear response formalism. The main focus, however, is on the linear regime.続きを見る
目次 I Correlation Functions and Kinetic Equations
1. Introduction
2. General Equations of Motion of Statistical Physics
3. Small Amplitude Perturbation Theory (Linear Response)
4. Brownian Motion (Relaxator)*
5. Brownian Motion (Oscillator)*
6. Dispersion Relations and Spectral Representations
7. Symmetry Properties of Correlation Functions
8. Detailed Balance, Fluctuations and Dissipation
9. Scattering of Particles and Light**
10. Energy Dissipation, Detailed Balance and Passivity
11. The High-Frequency Behaviour of Response Functions
12. The Low-Frequency Behaviour of Response Functions
13. Stochastic Forces, Langevin Equation
14. Brownian Motion: Langevin Equation*
15. Nonlinear Response Theory
16. The Increase of Entropy and Irreversibility
17. The Increase of Entropy: A Critical Discussion**
II Irreversible Thermodynamics
18. The Nyquist Formula
19. Thermomechanical Effects
20. Diffusion and Thermodiffusion
21. Thermoelectric Effects
22. Chemical Reactions
23. Typical Time Evolutions of Simple Chemical Reactions
24. Coupled Nonlinear Reactions
25. Chemical Fluctuations
26. Sticking, Desorption, Condensation and Evaporation
27. Nucleation
28. The Oscillator with Mechanical and Thermal Attenuation*
29. Hydrodynamics
30. Hydrodynamic Long-Time Tails
31. Matter in Electromagnetic Fields
32. Rate Equations (Master Equation, Stosszahlansatz)
33. Kinetic Transport Equations
34. The Dynamic Conductivity in the Relaxation Time Model
35. Zero Sound
36. The Fokker-Planck Approximation
37. Brownian Motion and Diffusion*
38. Fokker-Planck and Langevin Equations
39. Transport Equations in the Hydrodynamic Regime
40. The Minimum Entropy Production Variational Principle
III Calculation of Kinetic Coefficients
41. Approximation Methods
42. Correlation Functions for Single-Particle Problems
43. Perturbation Theory for Impurity Conduction
44. Electron-Phonon Conduction
45. Mode-Coupling Theory for Impurity Conduction
46. Electron Localization
47. Localization and Quantum Interference*
48. Scaling Laws for Dynamic Critical Phenomena
49. Applications of Dynamic Scaling Laws
50. Mode-Coupling Theory for Dynamic Critical Phenomena
51. Broken Symmetry and Low-Frequency Modes**
52. Collision Rates
53. Many-Body Effects in Collision Rates
References.
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登録日 2020.06.27
更新日 2020.06.28