Nonequilibrium Statistical Physics

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.