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.
Management Sciences and Quantitative Methods | Physical Sciences and Mathematics
Physical Review E
CHEW, L. Y. and TING, Christopher.
Analysis on the Origin of Directed Current from a Class of Microscopic Chaotic Fluctuations. (2004). Physical Review E. 69, (3), 1-13. Research Collection Lee Kong Chian School Of Business.
Available at: https://ink.library.smu.edu.sg/lkcsb_research/1874