Imperial College London
Alternate

DrAndrewDuncan

Faculty of Natural Sciences, Department of Mathematics

Senior Lecturer in Statistics and Data-Centric Engineering
 
 
 
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Contact

 

a.duncan

 
 
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Location

 

6M14Huxley BuildingSouth Kensington Campus

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Summary

 

Publications

Citation

BibTex format

@article{Duncan:2016:10.1103/PhysRevE.94.032107,
author = {Duncan, AB and Kalliadasis, S and Pavliotis, GA and Pradas, M},
doi = {10.1103/PhysRevE.94.032107},
journal = {Physical Review E},
title = {Noise-induced transitions in rugged energy landscapes},
url = {http://dx.doi.org/10.1103/PhysRevE.94.032107},
volume = {94},
year = {2016}
}
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RIS format (EndNote, RefMan)

TY  - JOUR
AB  - 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.
AU  - Duncan,AB
AU  - Kalliadasis,S
AU  - Pavliotis,GA
AU  - Pradas,M
DO  - 10.1103/PhysRevE.94.032107
PY  - 2016///
SN  - 1539-3755
TI  - Noise-induced transitions in rugged energy landscapes
T2  - Physical Review E
UR  - http://dx.doi.org/10.1103/PhysRevE.94.032107
UR  - http://hdl.handle.net/10044/1/41525
VL  - 94
ER  -
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