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140122 ||| eng |
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|a 9783642582448
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100 |
1 |
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|a Kubo, Ryogo
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245 |
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|a Statistical Physics II
|h Elektronische Ressource
|b Nonequilibrium Statistical Mechanics
|c by Ryogo Kubo, Morikazu Toda, Natsuki Hashitsume
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250 |
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|a 2nd ed. 1991
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260 |
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|a Berlin, Heidelberg
|b Springer Berlin Heidelberg
|c 1991, 1991
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300 |
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|a XVI, 279 p
|b online resource
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505 |
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|a 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
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653 |
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|a Complex Systems
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653 |
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|a Classical Mechanics
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653 |
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|a Thermodynamics
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653 |
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|a System theory
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653 |
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|a Mathematical physics
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653 |
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|a Mechanics
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653 |
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|a Theoretical, Mathematical and Computational Physics
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700 |
1 |
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|a Toda, Morikazu
|e [author]
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700 |
1 |
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|a Hashitsume, Natsuki
|e [author]
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041 |
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7 |
|a eng
|2 ISO 639-2
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989 |
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|b SBA
|a Springer Book Archives -2004
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490 |
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|a Springer Series in Solid-State Sciences
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028 |
5 |
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|a 10.1007/978-3-642-58244-8
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856 |
4 |
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|u https://doi.org/10.1007/978-3-642-58244-8?nosfx=y
|x Verlag
|3 Volltext
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082 |
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|a 530.1
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520 |
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|a 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
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