English

Activated escape of periodically modulated systems

Mesoscale and Nanoscale Physics 2009-11-11 v1 Statistical Mechanics

Abstract

The rate of noise-induced escape from a metastable state of a periodically modulated overdamped system is found for an arbitrary modulation amplitude AA. The instantaneous escape rate displays peaks that vary with the modulation from Gaussian to strongly asymmetric. The prefactor ν\nu in the period-averaged escape rate depends on AA nonmonotonically. Near the bifurcation amplitude AcA_c it scales as ν(AcA)ζ\nu\propto (A_c-A)^{\zeta}. We identify three scaling regimes, with ζ=1/4,1\zeta = 1/4, -1, and 1/2.

Keywords

Cite

@article{arxiv.cond-mat/0504450,
  title  = {Activated escape of periodically modulated systems},
  author = {M. I. Dykman and D. Ryvkine},
  journal= {arXiv preprint arXiv:cond-mat/0504450},
  year   = {2009}
}