Please use this identifier to cite or link to this item: http://scholarbank.nus.edu.sg/handle/10635/14252
Title: Theory of nonequilibrium transport based on a class of chaotic fluctuations
Authors: CHEW LOCK YUE
Keywords: Chaotic transport, Nonequilibrium fluctuations, Brownian ratchet, Gaussian diffusion process, Kramers problem, Chaotic resonance.
Issue Date: 12-Oct-2004
Source: CHEW LOCK YUE (2004-10-12). Theory of nonequilibrium transport based on a class of chaotic fluctuations. ScholarBank@NUS Repository.
Abstract: We present a mathematical theory on the transport of mesoscopic particle under the action of a class of nonequilibrium chaotic fluctuations. By considering a perturbative Perron-Frobenius approach on a strongly damped particle in a potential field, we arrive at a transport equation in the form of an inhomogeneous Smoluchowski equation with a source term. The source term is identified to be associated with the statistical asymmetry of the chaotic fluctuations. In particular, the theory has enabled us to give a quantitative account for various nonequilibrium phenomena, such as: the directed current, the desymmetrization of particle distributions, the enhancement or suppression of Kramers escape rate, as well as the correspondence between chaotic and stochastic resonance. Moreover, under the condition of free field, we have found interesting connection between the particle dynamics and statistical mechanics, and have uncovered the surprising result that a non-Ornstein-Uhlenbeck deterministic process can generate a stochastic Gaussian diffusion process.
URI: http://scholarbank.nus.edu.sg/handle/10635/14252
Appears in Collections:Ph.D Theses (Open)

Show full item record
Files in This Item:
File Description SizeFormatAccess SettingsVersion 
ChewLY.pdf2.75 MBAdobe PDF

OPEN

NoneView/Download

Page view(s)

241
checked on Dec 11, 2017

Download(s)

231
checked on Dec 11, 2017

Google ScholarTM

Check


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.