Please use this identifier to cite or link to this item: https://doi.org/10.1103/PhysRevE.75.061123
Title: Analytically solvable model of a driven system with quenched dichotomous disorder
Authors: Denisov, S.I.
Kostur, M.
Denisova, E.S.
Hänggi, P. 
Issue Date: 27-Jun-2007
Citation: Denisov, S.I., Kostur, M., Denisova, E.S., Hänggi, P. (2007-06-27). Analytically solvable model of a driven system with quenched dichotomous disorder. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 75 (6) : -. ScholarBank@NUS Repository. https://doi.org/10.1103/PhysRevE.75.061123
Abstract: We perform a time-dependent study of the driven dynamics of overdamped particles that are placed in a one-dimensional, piecewise linear random potential. This setup of spatially quenched disorder then exerts a dichotomous varying random force on the particles. We derive the path integral representation of the resulting probability density function for the position of the particles and transform this quantity of interest into the form of a Fourier integral. In doing so, the evolution of the probability density can be investigated analytically for finite times. It is demonstrated that the probability density contains both a δ -singular contribution and a regular part. While the former part plays a dominant role at short times, the latter rules the behavior at large evolution times. The slow approach of the probability density to a limiting Gaussian form as time tends to infinity is elucidated in detail. © 2007 The American Physical Society.
Source Title: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
URI: http://scholarbank.nus.edu.sg/handle/10635/95784
ISSN: 15393755
DOI: 10.1103/PhysRevE.75.061123
Appears in Collections:Staff Publications

Show full item record
Files in This Item:
There are no files associated with this item.

SCOPUSTM   
Citations

6
checked on May 23, 2018

WEB OF SCIENCETM
Citations

7
checked on May 23, 2018

Page view(s)

20
checked on May 11, 2018

Google ScholarTM

Check

Altmetric


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