Anomalous behavior of the Kramers rate at bifurcations in classical field theories

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dc.creatorBerglund, Nils
dc.creatorGentz, Barbara
dc.date2008-09-16
dc.date2009-01-06
dc.date.accessioned2026-07-07T12:27:30Z
dc.date.available2026-07-07T12:27:30Z
dc.descriptionWe consider a Ginzburg-Landau partial differential equation in a bounded interval, perturbed by weak spatio-temporal noise. As the interval length increases, a transition between activation regimes occurs, in which the classical Kramers rate diverges [R.S. Maier and D.L. Stein, Phys. Rev. Lett. 87, 270601 (2001)]. We determine a corrected Kramers formula at the transition point, yielding a finite, though noise-dependent prefactor, confirming a conjecture by Maier and Stein [vol. 5114 of SPIE Proceeding (2003)]. For both periodic and Neumann boundary conditions, we obtain explicit expressions of the prefactor in terms of Bessel and error functions.
dc.identifierhttps://arxiv.org/abs/0809.2652
dc.identifierhttp://arxiv.org/abs/0809.2652
dc.identifierJournal of Physics A Mathematical and Theoretical 42, 5 (2009) 052001
dc.identifierdoi:10.1088/1751-8113/42/5/052001
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/215229
dc.subjectProbability
dc.subjectMesoscale and Nanoscale Physics
dc.subjectPACS 05.40-a, 05.45.Yv, 11.10.Wx, 75.60.Jk
dc.titleAnomalous behavior of the Kramers rate at bifurcations in classical field theories
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