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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), article no. 032107.

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DOI (Digital Object Identifier) Link: https://doi.org/10.1103/PhysRevE.94.032107
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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 equation with 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: Journal Item
Copyright Holders: 2016 American Physical Society
ISSN: 2470-0053
Project Funding Details:
Funded Project NameProject IDFunding Body
Not SetEP/H034587EPSRC
Not SetEP/J009636EPSRC
Not SetEP/K008595EPSRC
Not SetEP/L020564EPSRC
Not SetEP/L024926EPSRC
Not Set247031ERC
Academic Unit/School: Faculty of Science, Technology, Engineering and Mathematics (STEM) > Mathematics and Statistics
Faculty of Science, Technology, Engineering and Mathematics (STEM)
Item ID: 47509
Depositing User: Marc Pradas
Date Deposited: 03 Oct 2016 15:16
Last Modified: 02 May 2019 19:55
URI: http://oro.open.ac.uk/id/eprint/47509
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