Statistical Physics II [E-Book] : Nonequilibrium Statistical Mechanics / by Ryogo Kubo, Morikazu Toda, Natsuki Hashitsume.
This volume of Statistical Physics consititutes the second part of Statistical Physics (Springer Series in Solid-State Science, Vols. 30, 31) and is devoted to nonequilibrium theories of statistical mechanics. We start with an intro duction to the stochastic treatment of Brownian motion and then pr...
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Full text |
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Personal Name(s): | Kubo, Ryogo, author |
Hashitsume, Natsuki, author / Toda, Morikazu, author | |
Imprint: |
Berlin, Heidelberg :
Springer,
1985
|
Physical Description: |
online resource. |
Note: |
englisch |
ISBN: |
9783642967016 |
DOI: |
10.1007/978-3-642-96701-6 |
Series Title: |
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Springer Series in Solid-State Sciences ;
31 |
Subject (LOC): |
- 1. Brownian Motion
- 1.1 Brownian Motion as a Stochastic Process
- 1.2 Central Limit Theorem and Brownian Motion
- 1.3 Langevin Equation and Harmonic Analysis
- 1.4 Gaussian Processes
- 1.5 Brownian Motion Modeled by a Gaussian Process
- 1.6 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 Two-Particle Green’s Function
- General Bibliography of Textbooks
- References.