The Effect of Focusing and Caustics on Exit Phenomena in Systems Lacking Detailed Balance

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dc.creatorMaier, Robert S.
dc.creatorStein, Daniel L.
dc.date1993-05-28
dc.date.accessioned2026-07-07T09:07:37Z
dc.date.available2026-07-07T09:07:37Z
dc.descriptionWe study the trajectories followed by a particle subjected to weak noise when escaping from the domain of attraction of a stable fixed point. If detailed balance is absent, a _focus_ may occur along the most probable exit path, leading to a breakdown of symmetry (if present). The exit trajectory bifurcates, and the exit location distribution may become `skewed' (non-Gaussian). The weak-noise asymptotics of the mean escape time are strongly affected. Our methods extend to the study of skewed exit location distributions in stochastic models without symmetry.
dc.descriptionREVTEX macros (latest version). Two accompanying PS figures, one of which is large (over 600K unpacked)
dc.identifierhttps://arxiv.org/abs/chao-dyn/9305010
dc.identifierhttp://arxiv.org/abs/chao-dyn/9305010
dc.identifierPhys. Rev. Lett. 71 (1993) 1783-1786
dc.identifierdoi:10.1103/PhysRevLett.71.1783
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/150436
dc.subjectChaotic Dynamics
dc.titleThe Effect of Focusing and Caustics on Exit Phenomena in Systems Lacking Detailed Balance
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