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Noise-induced transitions in rugged energy landscapes
journal contribution
posted on 2023-06-09, 06:43 authored by A B Duncan, S Kalliadasis, G A Pavliotis, M PradasWe 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.
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Publication status
- Published
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- Published version
Journal
Physical Review EISSN
2470-0045Publisher
American Physical SocietyExternal DOI
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3Volume
94Page range
032107Department affiliated with
- Mathematics Publications
Research groups affiliated with
- Probability and Statistics Research Group Publications
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- Yes
Peer reviewed?
- Yes
Legacy Posted Date
2017-06-15First Open Access (FOA) Date
2017-06-15First Compliant Deposit (FCD) Date
2017-06-15Usage metrics
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