Bronian Motion Flucuations, Dynamics, and Applications [Hardcover]

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.

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 Diffusion and Self-Diffusion
References
Index