Nonequilibrium Statistical Mechanics非平衡统计力学
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作者： Gene F. Mazenko著
出 版 社：
出版时间： 2006-12-1字数：版次：页数： 478印刷时间： 2006/12/01开本： 16开印次：纸张： 胶版纸I S B N ： 9783527406487包装： 平装内容简介
The present text offers a graduate level treatment of time dependent phenomena in condensed matter physics. Conventional ideas of linear response theory and kinetic theory are treated in detail. The general emphasis, however, in on the development of generalized Langevin equations for treating nonlinear behaviour in a wide variety of systems. A full treatment is given for the underpinnings of hydrodynamics for fluids.
This is the third volume of a four volume set of texts by the same author, two of which have already been published ("Fluctuations, Order, and Defects" 0-471-32840-5, "Equilibrium Statistical Mechanics" 0-471-32839-1). While the preceding volume contains material that is a prerequisite for fully understanding the material presented here, this volume is self-contained and can stand alone from the preceding volume.
作者简介：
Professor Gene F. Mazenko received his Ph.D. in physics from the Massachusetts Institute of Technology in 1971. After working as research associate at Harvard and Stanford he joined the faculty of the Department of Physics of the University of Chicago where he is now a professor. He has served as a visiting professor at the University of California at San Diego and Oxford University and as a consultant for the Argonne National Laboratory. Professor Mazenko is a Fellow of the American Physical Society and the author of two textbooks, both published with Wiley, and more than 130 journal articles.
目录
1 Systems Out of Equilibrium
1.1 Problems of Interest
1.2 Brownian Motion
1.2.1 Fluctuations in Equilibrium
1.2.2 Response to Applied Forces
1.3 References and Notes
1.4 Problems for Chapter l
2 Time-Dependent Phenomena in Condensed-Matter Systems
2.1 Linear Response Theory
2.1.1 General Comments
2.1.2 Linear Response Formalism
2.1.3 Time—Translational Invariance
2.1.4 vector Operators
2.1.5 Example：The Electrical Conductivitv
2.1.6 Example：Magnetic Resonance
2.1.7 Example：Relaxation From Constrained Equilibrium
2.1.8 Field Operators
2.1.9 Identification of Couplings
2.2 Scattering Experiments
2.2.1 Inelastic Neutron Scattering from a Fluid
2.2.2 Electron Scattering
2.2.3 Neutron Scatterin9：A More Careful Analvsis
2.2.4 Magnetic Neutron Scattering
2.2.5 X—Ray and Light Scattering
2.2.6 Summary of Scattering Experiments
2.3 References and Notes
2.4 Problems for Chapter 2
3 GeneraI Properties of Time-Correlation Functions
3.1 Fluctuation—Dissipation Theorem
3.2 Symmetry Properties of Correlation Functions
3.3 Analytic Properties of Response Functions
3.4 Symmetries of the Complex Response Function
3.5 The Harmonic Oscillator
3.6 The Relaxation Function
3.7 Summary of Correlation Functions
3.8 The Classical Limit
3.9 Example：The Electrical Conductivity
3.10 Nvquist Theorem
3.11 Dissipation
3.12 Static Susceptibility(Again)
3.13 Sum Rules
3.14 References and Notes
3.15 Problems for Chapter 3
4 Charged Transport
4.1 Introduction
4.2 The Equilibrium Situation
4.3 The Nonequilibrium Case
4.3.1 Setting up the Problem
4.3.2 Linear Response
4.4 The Macroscopic Maxwell Equations
4.5 The Drude Model
4.5.1 Basis for Model
4.5.2 Conductivitv and Dielectric Function
4.5.3 The Current Correlation Function
4.6 References and Notes
4.7 Problems for Chapter 4
5 Linearized Langevin and Hydrodynamical Description of Time.Correlation Functions
5.1 Introduction
5.2 Spin Diffusion in Itinerant Paramagnets
5.2.1 Continuity Equation
5.2.2 Constitutive Relation
5.2.3 Hvdrodvnamic Form for Correlation Functions
5.2.4 Green—Kubo Formula
5.3 Langevin Equation Approach to the Theory of Irreversible Processes
5.3.1 Choice of Variables
……
6 Hydrodynamic Spectrum of Normal Fluids
7 Kinetic Theory
8 Critical Phenomena and Broken Symmetry
9 Nonlinear Systems
10 Perturbation Theory and the Dynamic Renormalization Group
11 Unstable Growth
Appendices
Index
