Brownian Motion: Fluctuations, Dynamics, and ApplicationsOUP Oxford, 23 d’oct. 2008 - 304 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. |
Continguts
| 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 |
| 271 | |
| 285 | |
Altres edicions - Mostra-ho tot
Brownian Motion: Fluctuations, Dynamics, and Applications Robert M. Mazo Previsualització limitada - 2002 |
Brownian Motion: Fluctuations, Dynamics, and Applications Robert M. Mazo Previsualització no disponible - 2008 |
Brownian Motion: Fluctuations, Dynamics, and Applications Robert M. Mazo Previsualització no disponible - 2002 |
Frases i termes més freqüents
angle applications approximation assumed average becomes body boundary Brownian motion Brownian particle calculation called chapter collisions compute concentration Consequently considered constant contains continuous correlation course defined definition density depend derivation described detail determine differential equation diffusion diffusion coefficient dimension direction discussed distribution function dynamics effect Einstein example experiment fact field finite fixed flow fluctuations fluid follows force formal friction Gaussian give given important independent integral interaction interest introduced known Langevin equation limit linear mean measure method molecular molecules noise obtained operator original path physical position present probability problem properties quantity quantum mechanics question random variables respect result rotation sample scale short Smoluchowski solution space sphere stochastic stochastic differential equation term theory transform treated velocity walk write yields zero