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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.続きを見る |
本文を見る | Full text available from SpringerLink ebooks - Physics and Astronomy (Archive) |
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登録日 | 2020.06.27 |
更新日 | 2020.06.28 |