2004/08/31 by Nils Berglund, Barbara Gentz · 2 citations
Biochemistry, Genetics and Molecular Biology · Computer Science · Mathematics · Physics and Astronomy · #Diffusion and Search Dynamics #Nonlinear Dynamics and Pattern Formation #cond-mat.dis-nn #math-ph #math.MP #math.PR #stochastic dynamics and bifurcation
paper · pdf · doi:10.1209/epl/i2004-10472-2
published as Europhys. Letters 70:1-7 (2005) · 8 pages, 1 figure New version includes distinction between first-passage-time and residence-time distributions
arxiv created 2005/01/05 · openalex publication_date 2005/03/08 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30
We present mathematically rigorous expressions for the first-passage-time and residence-time distributions of a periodically forced Brownian particle in a bistable potential. For a broad range of forcing frequencies and amplitudes, the distributions are close to periodically modulated exponential ones. Remarkably, the periodic modulations are governed by universal functions, depending on a single parameter related to the forcing period. The behaviour of the distributions and their moments is analysed, in particular in the low- and high-frequency limits.