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