The University of Dublin | Trinity College -- Ollscoil Átha Cliath | Coláiste na Tríonóide
Trinity's Access to Research Archive
Home :: Log In :: Submit :: Alerts ::

School of Engineering >
Electronic & Electrical Eng >
Electronic & Electrical Eng (Scholarly Publications) >

Please use this identifier to cite or link to this item:

Title: Fractional translational diffusion of a Brownian particle in a double well potential
Author's Homepage:
Keywords: Electronic & Electrical Engineering
Issue Date: 2006
Publisher: American Institute of Physics
Citation: Kalmykov, Y.P., Coffey, W.T., Titov, S.V. 'Fractional translational diffusion of a Brownian particle in a double well potential' in Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 74, 1, (2006), art. no. 011105
Series/Report no.: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
Abstract: The fractional translational diffusion of a particle in a double-well potential (excluding inertial effects) is considered. The position correlation function and its spectrum are evaluated using a fractional probability density diffusion equation (based on the diffusion limit of a fractal time random walk). Exact and approximate solutions for the dynamic susceptibility describing the position response to a small external field are obtained. The exact solution is given by matrix continued fractions while the approximate solution relies on the exponential separation of the time scales of the fast "intrawell" and low overbarrier relaxation processes associated with the bistable potential. It is shown that knowledge of the characteristic relaxation times for normal diffusion allows one to predict accurately the anomalous relaxation behavior of the system for all relevant time scales.
Description: PUBLISHED
Appears in Collections:Electronic & Electrical Eng (Scholarly Publications)

Files in This Item:

File Description SizeFormat
Fractional translational.pdfpublished (publisher copy) peer-reviewed148.53 kBAdobe PDFView/Open

This item is protected by original copyright

Please note: There is a known bug in some browsers that causes an error when a user tries to view large pdf file within the browser window. If you receive the message "The file is damaged and could not be repaired", please try one of the solutions linked below based on the browser you are using.

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


Valid XHTML 1.0! DSpace Software Copyright © 2002-2010  Duraspace - Feedback