Note: On the relation between Lifson-Jackson and Derrida formulas for effective diffusion coefficient

被引：10

作者：

Kalnin, Juris R. ^{[1
]}

Berezhkovskii, Alexander M. ^{[2
]}

机构：

[1] Int Radio Astron Ctr VIRAC, Ventspils Engn Res Ctr, LV-3601 Ventspils, Latvia

[2] NIH, Math & Stat Comp Lab, Div Computat Biosci, Ctr Informat Technol, Bethesda, MD 20892 USA

来源：

JOURNAL OF CHEMICAL PHYSICS | 2013年 / 139卷 / 19期

关键词：

MOLECULAR MOTORS; KINETIC-MODELS; RANDOM-WALKS;

D O I：

10.1063/1.4832035

中图分类号：

O64 [物理化学（理论化学）、化学物理学];

学科分类号：

070304 ; 081704 ;

摘要：

The Lifson-Jackson formula provides the effective free diffusion coefficient for a particle diffusing in an arbitrary one-dimensional periodic potential. Its counterpart, when the underlying dynamics is described in terms of an unbiased nearest-neighbor Markovian random walk on a one-dimensional periodic lattice is given by the formula obtained by Derrida. It is shown that the latter formula can be considered as a discretized version of the Lifson-Jackson formula with correctly chosen position-dependent diffusion coefficient. © 2013 AIP Publishing LLC.

引用

页数：2

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