English

Universality in escape from a modulated potential well

Mesoscale and Nanoscale Physics 2009-11-07 v1 Statistical Mechanics

Abstract

We show that the rate of activated escape WW from a periodically modulated potential displays scaling behavior versus modulation amplitude AA. For adiabatic modulation of an optically trapped Brownian particle, measurements yield lnW(AcA)μ\ln W\propto (A_{\rm c} - A)^{\mu} with μ=1.5\mu = 1.5. The theory gives μ=3/2\mu=3/2 in the adiabatic limit and predicts a crossover to μ=2\mu=2 scaling as AA approaches the bifurcation point where the metastable state disappears.

Keywords

Cite

@article{arxiv.cond-mat/0204621,
  title  = {Universality in escape from a modulated potential well},
  author = {M. I. Dykman and B. Golding and J. R. Kruse and L. I. McCann and D. Ryvkine},
  journal= {arXiv preprint arXiv:cond-mat/0204621},
  year   = {2009}
}

Comments

4 pages, 3 figures

R2 v1 2026-07-22T10:36:34.762Z