Math @ Duke

Publications [#303548] of Jonathan C. Mattingly
Papers Submitted
 with Heymann, M; Teitsworth, SW; Mattingly, JC, Rare Transition Events in Nonequilibrium Systems with StateDependent
Noise: Application to Stochastic Current Switching in Semiconductor
Superlattices
(August, 2010) [1008.4037], [1008.4037v2]
(last updated on 2018/05/24)
Abstract: Using recent mathematical advances, a geometric approach to rare noisedriven
transition events in nonequilibrium systems is given, and an algorithm for
computing the maximum likelihood transition curve is generalized to the case of
statedependent noise. It is applied to a model of electronic transport in
semiconductor superlattices to investigate transitions between metastable
electric field distributions. When the applied voltage $V$ is varied near a
saddlenode bifurcation at $V_th$, the mean life time $$ of the initial
metastable state is shown to scale like $log \propto V_th  V^{3/2}$ as
$V\to V_th$.


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