Diffusion in Fluctuating Media: The Resonant Activation Problem

2003/07/23 by Jorge A. Revelli, Carlos. E. Budde, Revelli, Jorge A. +4
Computer Science · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Disordered Systems and Neural Networks (cond-mat.dis-nn) #FOS: Physical sciences #Nonlinear Dynamics and Pattern Formation #Statistical Mechanics (cond-mat.stat-mech) #cond-mat.dis-nn #cond-mat.stat-mech #stochastic dynamics and bifurcation

paper · pdf · doi:10.48550/arxiv.cond-mat/0307566

RevTex, 15 pgs, 8 figures, submitted to Eur.Phys.J.B

arxiv created 2003/07/23 · openalex publication_date 2003/07/23 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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 (P_s0), and the total length displacement or number of visited lattice sites (Λ). We observe a double \it resonant activation-like phenomenon when we plot the MFPT and P_s0 as functions of the intensity of the transition rate stochastic component.

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