Brownian motion : fluctuations, dynamics, and applications
This book describes the theory of how processes on the unobservable molecular scale give rise to observable effects such as diffusion and electrical noise on the macroscopic or laboratory scale. It puts the modern theory into historical context, and features new applications, statistical mechanics derivations, and the mathematical background of the topic.
Print Book, English, 2002
Clarendon Press ; Oxford University Press, Oxford, New York, 2002
Oxford science publications, v. 112, 112
xii, 289 pages : illustrations ; 25 cm.
9780198515678, 0198515677
48753074
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