Noise-induced transitions in rugged energy landscapes

Duncan, A B, Kalliadasis, S, Pavliotis, G A and Pradas, M (2016) Noise-induced transitions in rugged energy landscapes. Physical Review E, 94 (3). 032107. ISSN 2470-0045

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Abstract

We consider the problem of an overdamped Brownian particle moving in multiscale potential with N + 1 characteristic length scales: the macroscale and N separated microscales. We show that the coarse-grained dynamics is given by an overdamped Langevin equationwith respect to the free energy and with a space-dependent diffusion tensor, the calculation of which requires the solution of N fully coupled Poisson equations. We study in detail the structure of the bifurcation diagram for one-dimensional problems, and we show that the multiscale structure in the potential leads to hysteresis effects and to noise-induced transitions. Furthermore, we obtain an explicit formula for the effective diffusion coefficient for a self-similar separable potential, and we investigate the limit of infinitely many small scales.

Item Type: Article
Schools and Departments: School of Mathematical and Physical Sciences > Mathematics
Research Centres and Groups: Probability and Statistics Research Group
Subjects: Q Science > QA Mathematics
Depositing User: Billy Wichaidit
Date Deposited: 15 Jun 2017 09:45
Last Modified: 01 Jul 2017 16:02
URI: http://sro.sussex.ac.uk/id/eprint/68615

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