title: Analysis on the origin of directed current from a class of microscopic chaotic fluctuations.
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.
authors.affiliation: Department of Physics, National University of Singapore, Singapore 117542.
authors.forename: L Y
authors.initials: LY
authors.lastname: Chew
authors.forename: Christopher
authors.initials: C
authors.lastname: Ting