Diffusion coefficient and drift velocity in periodic media

Zbigniew Koza

Physica A: Statistical Mechanics and its Applications, 2000, vol. 285, issue 1, 176-186

Abstract: We present a novel method of computing the asymptotic drift velocity V and the diffusion coefficient D of a particle diffusing in an arbitrary periodic medium. We focus on a particular case of 1D systems with the nearest-neighbor transition rates and explain in detail how our method works in this case. We show that the problem of finding V and D can be reduced to a simple graph-counting problem. Using this method and a computer-algebra system, we were able to prove Fisher and Kolomeisky's [M.E. Fisher and A.B. Kolomeisky, Physica A 274 (1999) 241] conjecture about the maximal force exerted by a molecular motor (in the linear-response regime) for lattice periods L⩽16.

Keywords: Molecular motors; Dispersion; Diffusion coefficient (search for similar items in EconPapers)
Date: 2000
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378437100002806
Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:285:y:2000:i:1:p:176-186

DOI: 10.1016/S0378-4371(00)00280-6

Access Statistics for this article

Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

More articles in Physica A: Statistical Mechanics and its Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().