{"product_id":"9783540538332","title":"Statistical Physics. Vol.2 Nonequilibrium Statistical Mechanics (Springer Series in Solid-State Sciences Vol.31) (2nd ed. repr. 1998. XVI, 279 p. w. 28 figs. 23,5 cm)","description":"This text, the second volume of a two-volume set, treats statistical theories of nonequilibrium states from the viewpoint of the fluctuation-dissipation theorem, mainly in the framework of linear response theory. It begins by introducing the fundamental concepts and methods of stochastic theories. The classical theory of Brownian motion is generalized into a standard theory for fluctuation, relaxation, and response. The problem of coarse graining is treated on the basis of the stochastic Liouville equation and the damping theory formalism uses the projection operator method. One chapter is devoted to phenomenological treatments of relaxation and another to linear response theory. The final chapter is an introduction to the fieldtheoretic Green's function method. \u003cb\u003eStatistical Physics II\u003c\/b\u003e introduces nonequilibrium theories of statistical mechanics from the viewpoint of the fluctuation-disipation theorem. Emphasis is placed on the 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. 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'sFunction.- 5.10 Special Case of the Two-Particle Green's function.- General Bibliography of Textbooks.- References.","brand":"SPRINGER, BERLIN","offers":[{"title":"Default Title","offer_id":52355011346743,"sku":"00000_00000_00000_00000","price":969.82,"currency_code":"MYR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0962\/3548\/7543\/files\/9783540538332-1.jpg?v=1783270080","url":"https:\/\/kinokuniya.com.my\/products\/9783540538332","provider":"Books Kinokuniya Malaysia","version":"1.0","type":"link"}