Diffusion in Fluctuating Media: The Resonant Activation Problem
Revelli, Jorge A. · Budde, Carlos. E. · Wio, Horacio S.
Original · EN
We present a one-dimensional model for diffusion in a fluctuating lattice; that is a lattice which can be in two or more states. Transitions between the lattice states are induced by a combination of two processes: one periodic deterministic and the other stochastic. We study the dynamics of a system of particles moving in that medium, and characterize the problem from different points of view: mean first passage time (MFPT), probability of return to a given site (Pₛ₀), and the total length displacement or number of visited lattice sites (Λ). We observe a double resonant activation-like phenomenon when we plot the MFPT and Pₛ₀ as functions of the intensity of the transition rate stochastic component.
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