title: Chaos-induced escape over a potential barrier.
abstract: We investigate the statistical parity of a class of chaos-generated noises on the escape of strongly damped particles out of a potential well. We show that statistical asymmetry in the chaotic fluctuations can lead to a skewed Maxwell-Boltzmann distribution in the well. Depending on the direction of skew, the Kramers escape rate is enhanced or suppressed accordingly. Based on the Perron-Frobenious equation, we determine an analytical expression for the escape rate's prefactor that accounts for this effect. Furthermore, our perturbative analysis proves that in the zeroth-order limit, the rate of particle escape converges to the Kramers rate.
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
authors.forename: C H
authors.initials: CH
authors.lastname: Lai