
| 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 |
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