2004/02/12 by O. Flomenbom, Ophir Flomenbom, J. Klafter
Computer Science · Physics and Astronomy · #Nonlinear Dynamics and Pattern Formation #Spectroscopy and Quantum Chemical Studies #cond-mat.other #stochastic dynamics and bifurcation
paper · pdf · doi:10.1103/physreve.69.051109
published as Phys. Rev. E 69, 051109 (2004). · 5 pages, 5 figures, Phys. Rev. E., in press
arxiv created 2004/02/12 · openalex publication_date 2004/05/28 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The resonant activation phenomenon (RAP) in a discrete system is studied using the master equation formalism. We show that the RAP corresponds to a nonmonotonic behavior of the frequency dependent first passage time probability density function (PDF). An analytical expression for the resonant frequency is introduced, which, together with numerical results, helps understand the RAP behavior in the space spanned by the transition rates for the case of reflecting and absorbing boundary conditions. The limited range of system parameters for which the RAP occurs is discussed. We show that a minimum and a maximum in the mean first passage time can be obtained when both boundaries are absorbing. Relationships to some biological systems are suggested.