{ "id": "cond-mat/0504450", "version": "v1", "published": "2005-04-18T19:28:08.000Z", "updated": "2005-04-18T19:28:08.000Z", "title": "Activated escape of periodically modulated systems", "authors": [ "M. I. Dykman", "D. Ryvkine" ], "journal": "Phys. Rev. Lett. 94, 070602 (2005)", "doi": "10.1103/PhysRevLett.94.070602", "categories": [ "cond-mat.mes-hall", "cond-mat.stat-mech" ], "abstract": "The rate of noise-induced escape from a metastable state of a periodically modulated overdamped system is found for an arbitrary modulation amplitude $A$. The instantaneous escape rate displays peaks that vary with the modulation from Gaussian to strongly asymmetric. The prefactor $\\nu$ in the period-averaged escape rate depends on $A$ nonmonotonically. Near the bifurcation amplitude $A_c$ it scales as $\\nu\\propto (A_c-A)^{\\zeta}$. We identify three scaling regimes, with $\\zeta = 1/4, -1$, and 1/2.", "revisions": [ { "version": "v1", "updated": "2005-04-18T19:28:08.000Z" } ], "analyses": { "keywords": [ "periodically modulated systems", "activated escape", "instantaneous escape rate displays peaks", "arbitrary modulation amplitude", "period-averaged escape rate depends" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Phys. Rev. Lett." }, "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }