Rare Transition Events in Nonequilibrium Systems with State-Dependent Noise: Application to Stochastic Current Switching in Semiconductor Superlattices

Using recent mathematical advances, a geometric approach to rare noise-driven transition events in nonequilibrium systems is given, and an algorithm for computing the maximum likelihood transition curve is generalized to the case of state-dependent 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 saddle-node bifurcation at Vth , the mean life time 〈T 〉 of the initial metastable state is shown to scale like log〈T 〉 ∝ |Vth − V | 3/2 as V ր Vth .