Cargando…

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...

Descripción completa

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Kubo, Ryogo
Otros Autores: Toda, Morikazu, Hashitsume, Natsuki
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin, Heidelberg : Springer Berlin Heidelberg, 1991.
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.