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基本説明
New in paperback. Hardcover was published in 2002. This book studies its origin in molecular scale fluctuations, its description in terms of random process theory and also in terms of statistical mechanics. A number of new applications of these descriptions to physical and chemical processes, as well as statistical mechanical derivations and the mathematical background are discussed in detail.
Full Description
Brownian motion - the incessant motion of small particles suspended in a fluid - is an important topic in statistical physics and physical chemistry. This book studies its origin in molecular scale fluctuations, its description in terms of random process theory and also in terms of statistical mechanics. A number of new applications of these descriptions to physical and chemical processes, as well as statistical mechanical derivations and the mathematical background are discussed in detail. Graduate students, lecturers, and researchers in statistical physics and physical chemistry will find this an interesting and useful reference work.
Contents
1. Historical background ; 2. Probability theory ; 3. Stochastic processes ; 4. Einstein-Smoluchowski Theory ; 5. Stochastic differential equations and integrals ; 6. Functional integrals ; 7. Some important special cases ; 8. The Smoluchowski Equation ; 9. Random walk ; 10. Statistical mechanics ; 11. Stochastic equations from a statistical mechanical viewpoint ; 12. Two exactly treatable models ; 13. Brownian Motion and noise ; 14. Diffusion phenomena ; 15. Rotational diffusion ; 16. Polymer solutions ; 17. Interacting Brownian Particles ; 18. Dynamics, fractals, and chaos ; A. The applicability of Stokes Law ; B. Functional calculus ; C. An operator identity ; D. Euler Angles ; E. The Oseen Tensor ; F. Mutual- and self-diffusion
