Return to search

Study of the connection between an ohmic damping system and a dispersive dissipative system. / 歐姆阻尼系統與頻散耗散系統之連繫的研究 / Study of the connection between an ohmic damping system and a dispersive dissipative system. / Ou mu zu ni xi tong yu pin san hao san xi tong zhi lian xi de yan jiu

Kong Wai = 歐姆阻尼系統與頻散耗散系統之連繫的研究 / 江偉. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2006. / Includes bibliographical references (leaves 72-73). / Text in English; abstracts in English and Chinese. / Kong Wai = Ou mu zu ni xi tong yu pin san hao san xi tong zhi lian xi de yan jiu / Jiang Wei. / Chapter 1 --- Introduction --- p.1 / Chapter 2 --- Review of ohmic systems and dispersive systems --- p.4 / Chapter 2.1 --- Damped ohmic systems --- p.4 / Chapter 2.1.1 --- Equations of motion --- p.4 / Chapter 2.1.2 --- Normal modes --- p.7 / Chapter 2.1.3 --- Bilinear mapping and general solutions --- p.8 / Chapter 2.2 --- Dissipative dispersive system --- p.10 / Chapter 2.2.1 --- Matrix representation --- p.13 / Chapter 2.2.2 --- Bilinear mapping and metric tensor --- p.14 / Chapter 2.2.3 --- Generalization to M relaxation frequencies --- p.16 / Chapter 3 --- Relation between dispersive and ohmic systems --- p.17 / Chapter 4 --- Odd dimension problem --- p.22 / Chapter 4.1 --- The ohmic system --- p.22 / Chapter 4.1.1 --- Fast mode --- p.22 / Chapter 4.1.2 --- e = 0 --- p.24 / Chapter 4.1.3 --- e→ 0 --- p.25 / Chapter 4.2 --- The dispersive system --- p.27 / Chapter 4.3 --- Connections in odd-dimensional case --- p.30 / Chapter 4.3.1 --- "Odd-dimensional cases, e = 0, ₁ت2= ´ؤi∞" --- p.30 / Chapter 4.3.2 --- "Limiting cases, e →0" --- p.31 / Chapter 4.4 --- Eigenvalues --- p.32 / Chapter 4.5 --- Conclusion --- p.34 / Chapter 5 --- Fluctuation-dissipation theorem --- p.35 / Chapter 5.1 --- FDT for a single damped oscillator --- p.35 / Chapter 5.2 --- FDT for two coupled ohmic oscillators --- p.38 / Chapter 5.3 --- Two couple damped oscillators in different baths --- p.40 / Chapter 5.3.1 --- Case I: Symmetric and T1 = T2 --- p.41 / Chapter 5.3.2 --- Case II: Symmetric and η2 = 0 --- p.42 / Chapter 5.3.3 --- Case III: Asymmetric and T1 = T2 --- p.44 / Chapter 5.3.4 --- Case IV: Asymmetric and η2 = 0 --- p.46 / Chapter 5.3.5 --- Discussion --- p.47 / Chapter 6 --- Pseudo-Boltzman distribution --- p.48 / Chapter 6.1 --- Fokker´ؤPlanck equation --- p.48 / Chapter 6.1.1 --- Single damped oscillator --- p.48 / Chapter 6.1.2 --- Two coupled damped oscillators --- p.50 / Chapter 6.2 --- Path integral method --- p.55 / Chapter 6.2.1 --- Single damped oscillator --- p.55 / Chapter 6.2.2 --- N coupled oscillators --- p.56 / Chapter 7 --- Energy stored in a dispersive system --- p.58 / Chapter 7.1 --- Correlations --- p.59 / Chapter 7.2 --- One-one mapping for N = 2 --- p.61 / Chapter 7.3 --- One-one mapping for N = 3 --- p.64 / Chapter 8 --- Conclusion --- p.70 / Bibliography --- p.72 / Chapter A --- Equipartition theorem --- p.74 / Chapter B --- General fluctuation-dissipation theorem --- p.76 / Chapter C --- Case I: Symmetric and T1 = T2 --- p.80 / Chapter D --- Fokker´ؤPlanck equation - Single damped oscillator --- p.82 / Chapter E --- Fokker-Planck equation - Two coupled damped oscillators --- p.86 / Chapter F --- Path integral method - Single damped oscillator --- p.88 / Chapter G --- Path integral method - N coupled oscillators --- p.90 / Chapter H --- Correlation of χ1χ1 --- p.94 / Chapter I --- Conditions for a dissipative dispersive system --- p.96 / Chapter J --- Solution of an ohmic system --- p.98

Identiferoai:union.ndltd.org:cuhk.edu.hk/oai:cuhk-dr:cuhk_325775
Date January 2006
ContributorsKong, Wai., Chinese University of Hong Kong Graduate School. Division of Physics.
Source SetsThe Chinese University of Hong Kong
LanguageEnglish, Chinese
Detected LanguageEnglish
TypeText, bibliography
Formatprint, vii, 98 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/)

Page generated in 0.0019 seconds