ISSN 0869-6632 (Print)
ISSN 2542-1905 (Online)

For citation:

Dubkov A. A. Exact calculation оf effective diffusion constant in fluctuating periodic potentials. Izvestiya VUZ. Applied Nonlinear Dynamics, 2003, vol. 11, iss. 2, pp. 102-107. DOI: 10.18500/0869-6632-2003-11-2-102-107

This is an open access article distributed under the terms of Creative Commons Attribution 4.0 International License (CC-BY 4.0).
Full text PDF(Ru):
PDF icon and_2003-2_dubkov.pdf
(downloads: 0)
Language: 
English
Heading: 
Journal in the journal
Article type: 
Article
UDC: 
531.19:519.217
DOI: 
10.18500/0869-6632-2003-11-2-102-107

Exact calculation оf effective diffusion constant in fluctuating periodic potentials

Autors: 
Dubkov Aleksandr Aleksandrovich, Lobachevsky State University of Nizhny Novgorod
Abstract: 

Exact formula for diffusion coefficient оf Brownian particle moving in modulated by white noise periodic field is obtained. As it is shown the acceleration of diffusion in comparison with а free diffusion case takes place for аn arbitrary potential profile. Calculations оf effective diffusion constant for different periodic potentials are performed.  

Key words: 
-
Acknowledgments: 
This work has been supported by Russian Foundation for Basic Research (projects 00-15-96620, 02-02-17517), INTAS (grant 2001-0450), аnd Scientific Program «Universities of Russia» (project UR.01.01.008).
Reference: 
  1. Festa R, d'Agliano EG. Diffusion coefficient for а Brownian particle in a periodic field оf force. I. Large friction limit. Physica А. 1978;90(2):229–244. DOI: 10.1016/0378-4371(78)90111-5.
  2. Medvedev SY, Saichev AI. Exact calculation оf phase diffusion constant for synchronized generator. Radio Engineering and Electronic Physics. 1979;24(10):2058.
  3. Lindner B, Kostur M, Schimansky-Geier L. Optimal diffusive transport in а tilted periodic potential. Fluct. and Noise Lett. 2001;1(1):R25–R39. DOI: 10.1142/S0219477501000056.
  4. Malakhov AN. Acceleration оf Brownian particle diffusion parallel ю а fast random field with а short spatial period. Technical Physics Letters. 1998;24(11):833–835.
  5. Zwillinger D. Handbook оf Differential Equations. 3rd ed. Boston, MA: Academic Press; 1997. 832 p.
  6. Weaver DL. Effective diffusion coefficient оf а Brownian particle in а periodic potential. Physica A. 1979;98(1–2):359–362. DOI: 10.1016/0378-4371(79)90187-0.
  7. Abramowitz M, Stegun IA, editors. Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables. New York: Dover Publications, Inc.; 1972. 1046 p.
Received: 
19.11.2002
Accepted: 
14.02.2003
Available online: 
16.11.2023
Published: 
30.05.2003
  • 508 reads