Brownian Motion: Fluctuations, Dynamics, and Applications

Portada
Clarendon Press, 2002 - 289 pàgines
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.
 

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Continguts

1 Historical Background
1
2 Probability Theory
11
3 Stochastic Processes
26
4 EinsteinSmoluchowski Theory
46
5 Stochastic Differential Equations and Integrals
62
6 Functional Integrals
71
7 Some Important Special Cases
83
8 The Smoluchowski Equation
97
15 Rotational Diffusion
197
16 Polymer Solutions
208
17 Interacting Brownian Particles
222
18 Dynamics Fractals and Chaos
240
The Applicability of Stokes Law
258
Functional Calculus
260
An Operator Identity
263
Euler Angles
264

9 Random Walk
111
10 Statistical Mechanics
127
11 Stochastic Equations from a Statistical Mechanical Viewpoint
138
12 Two Exactly Treatable Models
159
13 Brownian Motion and Noise
170
14 Diffusion Phenomena
183
The Oseen Tensor
266
Mutual Diffusion and SelfDiffusion
268
References
271
Index
285
Copyright

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Sobre l'autor (2002)

Robert M. Mazo is at University of Oregon.

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