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Statistical Theory of Heat: Nonequilibrium Phenomena(English)

Statistical Theory of Heat: Nonequilibrium Phenomena(English)

          
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About the Book

This book provides an integrated presentation of nonequilibrium statistical physics based on the methods of correlation functions and memory kernels. The relation between this approach and other, earlier methods such as kinetic equations, transport equations and Onsager's approach is discussed in detail. Classical results of kinetic and transport theory are treated thoroughly, together with more recent results on hydrodynamic long time tails, dynamical scaling laws for critical phenomena and electron localization in random potentials. The growing interest in nonlinear phenomena is catered for by several chapters on related problems: a general microscopic nonlinear response theory is presented; phenomenological nonlinear equations are discussed with respect to their relations with microscopic theory and their applications in chemical reactions, hydrodynamics and "chaos"; microscopic nonlinear theory is used to calculate kinetic coefficients of nonlinear phenomenological theories such as transport theory and chemical reactions.

Table of Contents:
I Correlation Functions and Kinetic Equations.- 1. Introduction.- 2. General Equations of Motion of Statistical Physics.- 2.1 Quantum Statistics.- 2.2 Classical Statistics.- 2.3 Approximations.- Problems.- 3. Small Amplitude Perturbation Theory (Linear Response).- Problems.- 4. Brownian Motion (Relaxator)*.- Problems.- 5. Brownian Motion (Oscillator)*.- Problems.- 6. Dispersion Relations and Spectral Representations.- Problems.- 7. Symmetry Properties of Correlation Functions.- Problems.- 8. Detailed Balance, Fluctuations and Dissipation.- Problems.- 9. Scattering of Particles and Light**.- Problems.- 10. Energy Dissipation, Detailed Balance and Passivity.- 10.1 The Response of Conserved Quantities to External Forces.- 10.2 Energy Dissipation and Passivity.- Problems.- 11. The High-Frequency Behaviour of Response Functions.- Problems.- 12. The Low-Frequency Behaviour of Response Functions.- Problems.- 13. Stochastic Forces, Langevin Equation.- 13.1 The Subtraction Method (Langevin).- 13.2 The Projection Method (Zwanzig and Mori).- Problems.- 14. Brownian Motion: Langevin Equation*.- Problems.- 15. Nonlinear Response Theory.- 15.1 The General Initial Value Case.- 15.2 Low-Frequency Perturbation Theory.- Problems.- 16. The Increase of Entropy and Irreversibility.- 16.1 General.- 16.2 Linear Response.- 16.3 Low-Frequency Response.- Problems.- 17. The Increase of Entropy: A Critical Discussion**.- 17.1 Maxwell's Demon.- 17.2 Gibbs'Ink Parable.- 17.3 Zermel;lo's Recurrence Paradox.- 17.4 Loschmidt's Reversibility Objection.- Problems.- II Irreversible Thermodynamics.- 18. The Nyquist Formula.- Problems.- 19. Thermomechanical Effects.- 19.1 Diffusion and the Mechanocaloric Effect (?T = 0).- 19.2 Heat Diffusion and Thermomechanical Pressure Difference ($$\dot N$$ = 0).- Problems.- 20. Diffusion and Thermodiffusion.- Problems.- 21. Thermoelectric Effects.- Problems.- 22. Chemical Reactions.- Problems.- 23. Typical Time Evolutions of Simple Chemical Reactions.- 23.1 Zero-Order Reactions.- 23.2 First-Order Reactions.- 23.3 Second-Order Reactions.- 23.4 Third-Order Reactions.- Problems.- 24. Coupled Nonlinear Reactions.- 24.1 Nonequilibrium Phase Transitions.- 24.2 Kinetic Oscillations.- 24.3 "Chaos".- Problems.- 25. Chemical Fluctuations.- Problems.- 26. Sticking, Desorption, Condensation and Evaporation.- Problems.- 27. Nucleation.- Problems.- 28. The Oscillator with Mechanical and Thermal Attenuation*.- Problems.- 29. Hydrodynamics.- Problems.- 30. Hydrodynamic Long-Time Tails.- Problems.- 31. Matter in Electromagnetic Fields.- Problems.- 32. Rate Equations (Master Equation, Stosszahlansatz).- Problems.- 33. Kinetic Transport Equations.- Problems.- 34. The Dynamic Conductivity in the Relaxation Time Model.- 34.1 Longitudinal Excitations.- 34.2 Transverse Excitations.- 34.3 Discussion of ?l(k,?) and ?t(k,?).- 34.4 Quantum Corrections.- Problems.- 35. Zero Sound.- Problems.- 36. The Fokker-Planck Approximation.- Problems.- 37. Brownian Motion and Diffusion*.- Problems.- 38. Fokker-Planck and Langevin Equations.- 39. Transport Equations in the Hydrodynamic Regime.- 39.1 The Hydrodynamic Approximation.- 39.2 Diffusion of Particles and Heat.- 39.3 The Viscosities.- Problems.- 40. The Minimum Entropy Production Variational Principle.- 40.1 The Principle of Minimum Entropy Production.- 40.2 The Classical Boltzmann Gas.- 40.3 The Electron-Phonon System.- 40.4 Fermi Liquids.- Problems.- III Calculation of Kinetic Coefficients.- 41. Approximation Methods.- 42. Correlation Functions for Single-Particle Problems.- 42.1 General.- 42.2 Impurity Conduction (Greenwood Formula).- Problems.- 43. Perturbation Theory for Impurity Conduction.- Problems.- 44. Electron-Phonon Conduction.- Problems.- 45. Mode-Coupling Theory for Impurity Conduction.- 45.1 Particle Diffusion and Current Relaxation.- 45.2 Backscattering Effects.- 45.3 Self-Consistency Relations.- Problems.- 46. Electron Localization.- 46.1 Breakdown of Perturbation Theory.- 46.2 Localization and Nonergodicity.- 46.3 Critical Behaviour and Scaling Laws.- Problems.- 47. Localization and Quantum Interference*.- 48. Scaling Laws for Dynamic Critical Phenomena.- 48.1 General.- 48.2 The Lambda Transition in Liquid Helium.- Problems.- 49. Applications of Dynamic Scaling Laws.- 49.1 Isotropic Ferromagnets.- 49.2 Uniaxial Antiferromagnets, Structural Phase Transitions.- 49.3 Anisotropic Ferromagnets.- 49.4 Liquid-Gas Transition.- 50. Mode-Coupling Theory for Dynamic Critical Phenomena.- 51. Broken Symmetry and Low-Frequency Modes**.- 52. Collision Rates.- 52.1 Perturbation Theory.- 52.2 Impurity Scattering.- 52.3 Chemical Reaction Rates.- Problems.- 53. Many-Body Effects in Collision Rates.- Problems.- References.


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Product Details
  • ISBN-13: 9783540510369
  • Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
  • Publisher Imprint: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
  • Height: 235 mm
  • No of Pages: 290
  • Series Title: English
  • Sub Title: Nonequilibrium Phenomena
  • Width: 155 mm
  • ISBN-10: 3540510362
  • Publisher Date: 21 Dec 1989
  • Binding: Hardback
  • Language: English
  • Returnable: N
  • Spine Width: mm
  • Weight: 605 gr

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