Book contents
- Frontmatter
- Dedication
- Contents
- Preface
- Acknowledgements
- Notations and Acronyms
- 1 Brownian Motion, Langevin and Fokker–Planck Equations
- 2 Linear Response Theory and Transport Phenomena
- 3 From Equilibrium to Out-of-Equilibrium Phase Transitions
- 4 Out-of-Equilibrium Critical Phenomena
- 5 Stochastic Dynamics of Surfaces and Interfaces
- 6 Phase-Ordering Kinetics
- 7 Highlights on Pattern Formation
- Appendix A The Central Limit Theorem and Its Limitations
- Appendix B Spectral Properties of Stochastic Matrices
- Appendix C Reversibility and Ergodicity in a Markov Chain
- Appendix D The Diffusion Equation and Random Walk
- Appendix E The Kramers–Moyal Expansion
- Appendix F Mathematical Properties of Response Functions
- Appendix G The Van der Waals Equation
- Appendix H The Ising Model
- Appendix I Derivation of the Ginzburg–Landau Free Energy
- Appendix J Kinetic Monte Carlo
- Appendix K The Mean-field Phase Diagram of the Bridge Model
- Appendix L The Deterministic KPZ Equation and the Burgers Equation
- Appendix M The Perturbative Renormalization Group for KPZ: A Few Details
- Appendix N The Gibbs–Thomson Relation
- Appendix O The Allen–Cahn Equation
- Appendix P The Rayleigh–Bénard Instability
- Appendix Q General Conditions for the Turing Instability
- Appendix R Steady States of the One-Dimensional TDGL Equation
- Appendix S Multiscale Analysis
- Index
Notations and Acronyms
Published online by Cambridge University Press: 25 October 2017
- Frontmatter
- Dedication
- Contents
- Preface
- Acknowledgements
- Notations and Acronyms
- 1 Brownian Motion, Langevin and Fokker–Planck Equations
- 2 Linear Response Theory and Transport Phenomena
- 3 From Equilibrium to Out-of-Equilibrium Phase Transitions
- 4 Out-of-Equilibrium Critical Phenomena
- 5 Stochastic Dynamics of Surfaces and Interfaces
- 6 Phase-Ordering Kinetics
- 7 Highlights on Pattern Formation
- Appendix A The Central Limit Theorem and Its Limitations
- Appendix B Spectral Properties of Stochastic Matrices
- Appendix C Reversibility and Ergodicity in a Markov Chain
- Appendix D The Diffusion Equation and Random Walk
- Appendix E The Kramers–Moyal Expansion
- Appendix F Mathematical Properties of Response Functions
- Appendix G The Van der Waals Equation
- Appendix H The Ising Model
- Appendix I Derivation of the Ginzburg–Landau Free Energy
- Appendix J Kinetic Monte Carlo
- Appendix K The Mean-field Phase Diagram of the Bridge Model
- Appendix L The Deterministic KPZ Equation and the Burgers Equation
- Appendix M The Perturbative Renormalization Group for KPZ: A Few Details
- Appendix N The Gibbs–Thomson Relation
- Appendix O The Allen–Cahn Equation
- Appendix P The Rayleigh–Bénard Instability
- Appendix Q General Conditions for the Turing Instability
- Appendix R Steady States of the One-Dimensional TDGL Equation
- Appendix S Multiscale Analysis
- Index
Summary
- Type
- Chapter
- Information
- Nonequilibrium Statistical PhysicsA Modern Perspective, pp. xvi - xviiiPublisher: Cambridge University PressPrint publication year: 2017