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 -