Imperial College London

Professor Grigorios A. Pavliotis

Faculty of Natural SciencesDepartment of Mathematics

Professor of Applied Mathematics
 
 
 
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Contact

 

+44 (0)20 7594 8564g.pavliotis Website

 
 
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Location

 

736aHuxley 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}
}

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 -