This second edition presents a comprehensive overview of nonequilibrium statistical physics, covering the underlying theory, key aspects of nonequilibrium phase transitions, and modern applications. The book is accessible to graduate students and a pedagogical approach is adopted throughout.
This second edition presents a comprehensive overview of nonequilibrium statistical physics, covering the underlying theory, key aspects of nonequilibrium phase transitions, and modern applications. The book is accessible to graduate students and a pedagogical approach is adopted throughout.
Roberto Livi is Honorary Professor of Theoretical Physics at the University of Florence and an associate member of the National Institute of Nuclear Physics (INFN) and of the Institute for Complex Systems of the National Research Council (CNR). His research is focused on nonequilibrium statistical physics, and he has extensive experience teaching courses on statistical physics. He is the current President of the Italian Society of Statistical Physics.
Inhaltsangabe
Preface to the second edition Acknowledgements Notations and acronyms 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-Bénard instability Appendix X: General conditions for the Turing instability Appendix Y: Steady states of the one-dimensional TDGL equation Appendix Z: Multiscale analysis Index.
Preface to the second edition Acknowledgements Notations and acronyms 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-Bénard instability Appendix X: General conditions for the Turing instability Appendix Y: Steady states of the one-dimensional TDGL equation Appendix Z: Multiscale analysis Index.
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