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Nonequilibrium Statistical Physics, 2 Revised edition
出版済み 3-5週間でお届けいたします。
Title: Nonequilibrium Statistical Physics, 2 Revised edition Subtitle: A Modern Perspective Author: Livi, Roberto (Universita degli Studi di Firenze) / Politi, Paolo (Istituto dei Sistemi Complessi, Firenze) Publisher: Cambridge University Press ISBN: 9781316512302 Cover: HARDCOVER Date: 2025年07月 DESCRIPTION Statistical mechanics is hugely successful when applied to physical systems at thermodynamic equilibrium; however, most natural phenomena occur in nonequilibrium conditions and more sophisticated techniques are required to address this increased complexity. This second edition presents a comprehensive overview of nonequilibrium statistical physics, covering essential topics such as Langevin equations, Levy processes, fluctuation relations, transport theory, directed percolation, kinetic roughening, and pattern formation. The first part of the book introduces the underlying theory of nonequilibrium physics, the second part develops key aspects of nonequilibrium phase transitions, and the final part covers modern applications. A pedagogical approach has been adopted for the benefit of graduate students and instructors, with clear language and detailed figures used to explain the relevant models and experimental results. With the inclusion of original material and organizational changes throughout the book, this updated edition will be an essential guide for graduate students and researchers in nonequilibrium thermodynamics. Provides a comprehensive and accessible overview of nonequilibrium statistical physics, covering both foundational concepts and modern applications Uses clear language, detailed figures, and an instructive approach to ensure ease of use by students, teachers, and researchers Includes up-to-date content to ensure readers are provided with the most relevant contemporary perspectives TABLE OF CONTENTS 1. Kinetic theory and the Boltzmann equation 2. Brownian motion, Langevin and Fokker-Planck equations 3. Fluctuations and their probability 4. Linear response theory and transport phenomena 5. From equilibrium to out-of-equilibrium phase transitions: Driven lattice gases 6. Absorbing phase transitions 7. Stochastic dynamics of surfaces and interfaces 8. Phase-ordering kinetics 9. Highlights on pattern formation Appendix A: Binary elastic collisions in the hard sphere gas Appendix B: Maxwell-Boltzmann distribution in the uniform case Appendix C: Physical quantities from the Boltzmann equation in the nonuniform Case Appendix D: Outine of the Chapman-Enskog method Appendix E: First-order approximation to Hydrodynamics Appendix F: Spectral properties of stochastic matrices Appendix G: The deterministic KPZ equation and the Burgers equation Appendix J: Stochastic differential equation for the energy of the Brownian particle Appendix K: The Kramers-Moyal expansion Appendix L: Probability distributions Appendix M: The diffusion equation and the Random Walk Appendix N: Linear response in quantum systems Appendix O: Mathematical properties of response functions Appendix P: The Van der Waals equation Appendix Q: Derivation of the Ginzburg-Landau free energy Appendix R: The perturbative renormalization group for KPZ Appendix S: TASEP: Map method and simulations Appendix T: Bridge Model: Mean-field and simulations Appendix U: The Allen-Cahn equation Appendix V: The Gibbs-Thomson relation Appendix W: The Rayleigh-Benard instability Appendix X: General conditions for the Turing instability Appendix Y: Steady states of the one-dimensional TDGL equation Appendix Z: Multiscale analysis
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