Title

Analysis on the Origin of Directed Current from a Class of Microscopic Chaotic Fluctuations

Publication Type

Journal Article

Publication Date

3-2004

Abstract

We show that the Perron-Frobenius equation of microscopic chaos based on double symmetric maps leads to an inhomogeneous Smoluchowski equation with a source term. Our perturbative analysis reveals that the source term gives rise to a directed current for a strongly damped particle in a spatially periodic potential. In addition, our result proves that in the zeroth-order limit, the position distribution of the particle obeys the Smoluchowski equation even though the fluctuating force is deterministic.

Discipline

Management Sciences and Quantitative Methods | Physical Sciences and Mathematics

Research Areas

Finance

Publication

Physical Review E

Volume

69

Issue

3

First Page

1

Last Page

13

ISSN

1063-651X

Identifier

10.1103/PhysRevE.69.031103

Additional URL

http://doi.org/10.1103/PhysRevE.69.031103