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福田遵著
出版情報: 東京 : 日本能率協会マネジメントセンター, 2002.4  206p ; 21cm
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大村英昭著
出版情報: 京都 : 世界思想社, 2002.5  vii, 240p ; 20cm
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國領英雄編著
出版情報: 東京 : 成山堂書店, 2002.4  13, 239p ; 22cm
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古田孝之著
出版情報: 東京 : 培風館, 2002.4  iv, 127p ; 21cm
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丹下博文編 ; 丹下博文 [ほか] 共著
出版情報: 東京 : 成文堂, 2002.4  3, 3, 227p ; 22cm
シリーズ名: 朝日大学産業情報研究所叢書 ; 5
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大城善盛, 倉橋英逸編集 ; 大城善盛 [ほか] 共著
出版情報: 東京 : 樹村房, 2002.3  xiv, 217p ; 21cm
シリーズ名: 新・図書館学シリーズ ; 9
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edited by D.A. Caughey, M.M. Hafez
出版情報: Singapore : World Scientific, c2002  xv, 506 p. ; 24 cm
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高山正也編 ; 加藤修子 [ほか] 共著
出版情報: 東京 : 樹村房, 2002.4  xii, 183p ; 21cm
シリーズ名: 新・図書館学シリーズ ; 2
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藤嶋暁著
出版情報: 函館 : 函館大学出版会, 2002.4  266p ; 22cm
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Robert M. Mazo
出版情報: Oxford : Clarendon Press, 2002  xii, 289 p. ; 24 cm
シリーズ名: The international series of monographs on physics ; 112
Oxford science publications
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目次情報: 続きを見る
Historical Background / 1:
Robert Brown / 1.1:
Between Brown and Einstein / 1.2:
Albert Einstein / 1.3:
Marian von Smoluchowski / 1.4:
Molecular Reality / 1.5:
The Scope of this Book / 1.6:
Probability Theory / 2:
Probability / 2.1:
Conditional Probability and Independence / 2.2:
Random Variables and Probability Distributions / 2.3:
Expectations and Particular Distributions / 2.4:
Characteristic Function; Sums of Random Variables / 2.5:
Conclusion / 2.6:
Stochastic Processes / 3:
Distribution Functions / 3.1:
Classification of Stochastic Processes / 3.3:
The Fokker-Planck Equation / 3.4:
Some Special Processes / 3.5:
Calculus of Stochastic Processes / 3.6:
Fourier Analysis of Random Processes / 3.7:
White Noise / 3.8:
Einstein-Smoluchowski Theory / 3.9:
What is Brownian Motion? / 4.1:
Smoluchowski's Theory / 4.2:
Smoluchowski Theory Continued / 4.3:
Einstein's Theory / 4.4:
Diffusion Coefficient and Friction Constant / 4.5:
The Langevin Theory / 4.6:
Stochastic Differential Equations and Integrals / 5:
The Langevin Equation Revisited / 5.1:
Stochastic Differential Equations / 5.2:
Which Rule Should Be Used? / 5.3:
Some Examples / 5.4:
Functional Integrals / 6:
The Wiener Integral / 6.1:
Wiener Measure / 6.3:
The Feynman-Kac Formula / 6.4:
Feynman Path Integrals / 6.5:
Evaluation of Wiener Integrals / 6.6:
Applications of Functional Integrals / 6.7:
Some Important Special Cases / 7:
Several Cases of Interest / 7.1:
The Free Particle / 7.2:
The Distribution of Displacements / 7.3:
The Harmonically Bound Particle / 7.4:
A Particle in a Constant Force Field / 7.5:
The Uniaxial Rotor / 7.6:
An Equation for the Distribution of Displacements / 7.7:
Discussion / 7.8:
The Smoluchowski Equation / 8:
The Kramers-Klein Equation / 8.1:
Elimination of Fast Variables / 8.2:
The Smoluchowski Equation Continued / 8.4:
Passage over Potential Barriers / 8.5:
Concluding Remarks / 8.6:
Random Walk / 9:
The Random Walk / 9.1:
The One-Dimensional Pearson Walk / 9.2:
The Biased Random Walk / 9.3:
The Persistent Walk / 9.4:
Boundaries and First Passage Times / 9.5:
Random Remarks on Random Walks / 9.6:
Statistical Mechanics / 10:
Molecular Distribution Functions / 10.1:
The Liouville Equation / 10.2:
Projection Operators--The Zwanzig Equation / 10.3:
Projection Operators--The Mori Equation / 10.4:
Stochastic Equations from a Statistical Mechanical Viewpoint / 10.5:
The Langevin Equation A Heuristic View / 11.1:
The Fokker-Planck Equation--A Heuristic View / 11.2:
What is Wrong with these Derivations? / 11.3:
Eliminating Fast Processes / 11.4:
The Distribution Function / 11.5:
Two Exactly Treatable Models / 11.6:
Two Illustrative Examples / 12.1:
Brownian Motion in a Dilute Gas / 12.2:
The Particle Bound to a Lattice / 12.3:
The One-Dimensional Case / 12.5:
Brownian Motion and Noise / 12.6:
Limits on Measurement / 13.1:
Oscillations of a Fiber / 13.2:
A Pneumatic Example / 13.3:
Electrical Systems / 13.4:
Diffusion Phenomena / 13.5:
Brownian Motion in Configuration Space / 14.1:
Diffusion Controlled Reactions / 14.2:
The Effect of Forces / 14.3:
The Coagulation of Colloids / 14.4:
Taylor Diffusion / 14.5:
Rotational Diffusion / 15:
Fluorescence Depolarization / 15.1:
Non-Spherical Brownian Particles / 15.3:
Polymer Solutions / 15.4:
A Model for Dilute Solutions of Polymers / 16.1:
Hydrodynamic Interaction / 16.2:
The Equation of Motion / 16.3:
Diffusion and Intrinsic Viscosity / 16.4:
Historical Remarks and Additional Reading / 16.5:
Interacting Brownian Particles / 17:
Effects of Concentration / 17.1:
The Multiparticle Smoluchowski Equation / 17.2:
The Diffusion Coefficient / 17.4:
The Viscosity / 17.5:
Dynamics, Fractals, and Chaos / 17.6:
Brownian Dynamics / 18.1:
Brownian Paths as Fractals / 18.2:
Brownian Motion and Chaos / 18.3:
The Applicability of Stokes' Law / 18.4:
Functional Calculus / B:
An Operator Identity / C:
Euler Angles / D:
The Oseen Tensor / E:
Mutual Diffusion and Self-Diffusion / F:
Mutual Diffusion / F.1:
Self-Diffusion / F.2:
Relation between D[subscript m] and D[subscript s] / F.3:
References
Index
Historical Background / 1:
Robert Brown / 1.1:
Between Brown and Einstein / 1.2:
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