非平衡統計力学：入門と応用（テキスト） Nonequilibrium Statistical Mechanics : An Introduction with Applications

著者名：Bagchi, Biman

Chapman and Hall/CRC（2023/11/21発売）

• 言語：ENG
• ISBN：9780367743956
• eISBN：9781000996937

Description

1) Nonequilibrium Statistical Mechanics: An Introduction with Applications aims to develop a course on “Nonequilibrium Statistical Mechanics” (NEQ-SM) in such a manner that it can be taught to advanced graduates and researchers.
2) Despite its great importance, there have also been fewer books on Time Dependent Statistical Mechanics (TDSM) than that of Equilibrium Statistical Mechanics. This book will be a rather systematic book to help the PhD student and research community. The book can be taught to advanced MS students and PhD students during their PhD course work
3) The present book is more elementary with examples taken from chemistry and biology

Table of Contents

Part I. Preliminaries. 1. Preliminaries: The Scope of Non-equilibrium Statistical Mechanics. 2. Time Dependent Probability Distribution Functions. 3. Relationship between Theory and Experiments. 4. Force, Flux and Irreversible Thermodynamics. 5. Hydrodynamic Approach to Relaxation Phenomena. 6. Kinetic Theory of Gases: Boltzmann Kinetic Equation and His H-theorem. Part II. Fundamentals. 7. Liouville theorem, Liouville Equation and BBGKY Hierarchy. 8. Time Correlation Function Formalism. 9. Density-Density and Current-Current Time Correlation Functions. 10. Velocity Time Correlation Function. 11. Linear Response Theory and Fluctuation-Dissipation Theorems. 12. Projection Operator Technique. 13. Mori Continued Fraction and Related Applications. 14. Moments and Cumulants. Part III. Phenomenology. 15. Brownian Motion and Langevin Equation. 16. Random Walks. 17. Fokker-Planck, Kramers and Smoluchowski Equations and Their Analytical Solution. 18. Master Equations. 19. Numerical Solution of Smoluchowski and Fokker-Planck Equations. Part. IV. Relaxation Phenomena. 20. Theory of Chemical Reaction Dynamics. 21. Diffusion on Flat and Rugged Energy Landscapes. 22. Rotational diffusion: Study of Orientational Time Correlation Functions. Part V. Advanced Topics. 23. Mode-Coupling Theory of Liquid State Dynamics. 24. Irreversible Thermodynamics Revisited. 25. Rate of Rare Events.