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study of Fokker-Planck equation and subdiffusive fractional Fokker-Planck equation with sinks. / 含粒子阱之福克-普朗克方程及亞擴散分數福克-普朗克方程之研究 / A study of Fokker-Planck equation and subdiffusive fractional Fokker-Planck equation with sinks. / Han li zi jing zhi Fuke-Pulangke fang cheng ji ya kuo san fen shu Fuke-Pulangke fang cheng zhi yan jiu

Chow Cheuk Wang = 含粒子阱之福克-普朗克方程及亞擴散分數福克-普朗克方程之研究 / 周卓宏. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2004. / Includes bibliographical references (leaves 70-72). / Text in English; abstracts in English and Chinese. / Chow Cheuk Wang = Han li zi jing zhi Fuke-Pulangke fang cheng ji ya kuo san fen shu Fuke-Pulangke fang cheng zhi yan jiu / Zhou Zhuohong. / Chapter 1 --- Introduction --- p.1 / Chapter 2 --- Derivation of the Fokker-Planck equation --- p.5 / Chapter 2.1 --- Diffusion equation --- p.5 / Chapter 2.2 --- Kramers-Moyal Equation --- p.7 / Chapter 2.3 --- Fokker-Planck Equation --- p.9 / Chapter 2.3.1 --- Eigenfunction Expansion --- p.10 / Chapter 2.3.2 --- Mapping FPE to a pseudo-Schrodinger equation --- p.11 / Chapter 3 --- Conventional Fokker-Planck equation with sinks --- p.15 / Chapter 3.1 --- Propagator with sinks --- p.16 / Chapter 3.1.1 --- One-sink propagator --- p.17 / Chapter 3.1.2 --- Two-sink propagator --- p.18 / Chapter 3.2 --- Survival probability --- p.19 / Chapter 3.3 --- Expectation value of the position --- p.22 / Chapter 3.4 --- Mean survival time --- p.25 / Chapter 4 --- Fractional Fokker-Planck equation with sinks --- p.38 / Chapter 4.1 --- Fractional diffusion equation --- p.39 / Chapter 4.2 --- Propagator of the subdiffusive system --- p.41 / Chapter 4.3 --- Survival probability and expectation value of the position --- p.43 / Chapter 4.4 --- Mean survival-time distribution --- p.47 / Chapter 5 --- Boundary value problems for diffusion and subdiffusion --- p.53 / Chapter 5.1 --- Diffusion in a linear potential U(x) = Fx --- p.54 / Chapter 5.2 --- Two absorbing boundaries --- p.55 / Chapter 5.3 --- One absorbing boundary and one reflecting boundary --- p.58 / Chapter 5.4 --- Two reflecting boundaries --- p.59 / Chapter 6 --- Summary --- p.68 / Bibliography --- p.70 / Chapter A --- Laplace transform and the method of Abate and Whitt --- p.73 / Chapter B --- Mittag-Leffler function and its two-point Pade approximant --- p.77

Identiferoai:union.ndltd.org:cuhk.edu.hk/oai:cuhk-dr:cuhk_324564
Date January 2004
ContributorsChow, Cheuk Wang., Chinese University of Hong Kong Graduate School. Division of Physics.
Source SetsThe Chinese University of Hong Kong
LanguageEnglish, Chinese
Detected LanguageEnglish
TypeText, bibliography
Formatprint, v, 79 leaves : ill. ; 30 cm.
RightsUse of this resource is governed by the terms and conditions of the Creative Commons “Attribution-NonCommercial-NoDerivatives 4.0 International” License (http://creativecommons.org/licenses/by-nc-nd/4.0/)

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