On Diffusion in Narrow Random Channels

Author

Mark Freidlin
Wenqing Hu, Missouri University of Science and TechnologyFollow

Abstract

We consider in this paper a solvable model for the motion of molecular motors. Based on the averaging principle, we reduce the problem to a diffusion process on a graph. We then calculate the effective speed of transportation of these motors.

Recommended Citation

M. Freidlin and W. Hu, "On Diffusion in Narrow Random Channels," Journal of Statistical Physics, vol. 152, no. 1, pp. 136 - 158, Springer Verlag, Jul 2013.

The definitive version is available at https://doi.org/10.1007/s10955-013-0763-3

Department(s)

Mathematics and Statistics

Keywords and Phrases

Averaging principle; Brownian motors/ratchets; Diffusion processes on graphs; Random environment

International Standard Serial Number (ISSN)

0022-4715; 1572-9613

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2013 Springer Verlag, All rights reserved.

Publication Date

01 Jul 2013