| Description |
1 online resource (xvi, 279 pages 28 illustrations) |
| Series |
Springer Series in Solid-State Sciences, 0171-1873 ; 31 |
|
Springer series in solid-state sciences ; 31.
|
| Contents |
1. Brownian Motion -- 1.1 Brownian Motion as a Stochastic Process -- 1.2 The Central Limit Theorem and Brownian Motion -- 1.3 The Langevin Equation and Harmonic Analysis -- 1.4 Gaussian Processes -- 1.5 Brownian Motion Modeled by a Gaussian Process -- 1.6 The Fluctuation-Dissipation Theorem -- 2. Physical Processes as Stochastic Processes -- 2.1 Random Frequency Modulation -- 2.2 Brownian Motion Revisited -- 2.3 Markovian Processes -- 2.4 Fokker-Planck Equation -- 2.5 Contraction of Information. Projected Processes -- 2.6 Derivation of Master Equations -- 2.7 Brownian Motion of a Quantal System -- 2.8 Boltzmann Equation -- 2.9 Generalized Langevin Equation and the Damping Theory -- 3. Relaxation and Resonance Absorption -- 3.1 Linear Irreversible Processes -- 3.2 Complex Admittance -- 3.3 Debye Relaxation -- 3.4 Resonance Absorption -- 3.5 Wave Number-Dependent Complex Admittance -- 3.6 Dispersion Relations -- 3.7 Sum Rules and Interpolation Formulas -- 4. Statistical Mechanics of Linear Response -- 4.1 Static Response to External Force -- 4.2 Dynamic Response to External Force -- 4.3 Symmetry and the Dispersion Relations -- 4.4 Fluctuation and Dissipation Theorem -- 4.5 Density Response, Conduction and Diffusion -- 4.6 Response to Thermal Internal Forces -- 4.7 Some Remarks on the Linear-Response Theory -- 5. Quantum Field Theoretical Methods in Statistical Mechanics -- 5.1 Double-Time Green's Functions -- 5.2 Chain of Equations of Motion and the Decoupling Approximation -- 5.3 Relation to the Kinetic Equation -- 5.4 Single-Particle Green's Function and the Causal Green's Function -- 5.5 Basic Formula for Perturbational Expansion -- 5.6 Temperature Green's function -- 5.7 Diagram Technique -- 5.8 Dyson Equation -- 5.9 Relationship Between the Thermodynamic Potential and the Temperature Green's Function -- 5.10 Special Case of the Two-Particle Green's function -- General Bibliography of Textbooks -- References |
| Summary |
Statistical Physics II introduces nonequilibrium theories of statistical mechanics from the viewpoint of the fluctuation-dissipation theorem. Emphasis is placed on relaxation from nonequilibrium to equilibrium states, the response of a system to an external disturbance, and general problems involved in deriving a macroscopic physical process from more basic underlying processes. Fundamental concepts and methods are stressed, rather than the numerous individual applications |
| Bibliography |
Includes bibliographical references and index |
| Notes |
English |
| Subject |
Physics.
|
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Mechanics.
|
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Thermodynamics.
|
|
Physics
|
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Mechanics
|
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Thermodynamics
|
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physics.
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mechanics (physics)
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thermodynamics.
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Mechanics
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Physics
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Thermodynamics
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| Form |
Electronic book
|
| Author |
Toda, Morikazu
|
|
Hashitsume, Natsuki
|
| ISBN |
9783642582448 |
|
3642582443 |
|
