Statistical Physics II : Nonequilibrium Statistical Mechanics /
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...
Clasificación: | Libro Electrónico |
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Autor principal: | |
Otros Autores: | , |
Formato: | Electrónico eBook |
Idioma: | Inglés |
Publicado: |
Berlin, Heidelberg :
Springer Berlin Heidelberg,
1991.
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Edición: | Second edition. |
Colección: | Springer series in solid-state sciences ;
31. |
Temas: | |
Acceso en línea: | Texto completo |
Tabla de Contenidos:
- 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.