6533b82bfe1ef96bd128e83b

RESEARCH PRODUCT

Gaussian models for the distribution of Brownian particles in tilted periodic potentials

D. KulikovN. AgudovB. Spagnolo

subject

Langevin dynamics Overdamped Brownian motion periodic tilted potential stochastic processes Gaussian approximationSettore FIS/03 - Fisica Della Materia

description

We present two Gaussian approximations for the time-dependent probability density function (PDF) of an overdamped Brownian particle moving in a tilted periodic potential. We assume high potential barriers in comparison with the noise intensity. The accuracy of the proposed approximated expressions for the time-dependent PDF is checked with numerical simulations of the Langevin dynamics. We found a quite good agreement between theoretical and numerical results at all times.

yearjournalcountryeditionlanguage
2011-09-23
10.1140/epjb/e2011-20372-xhttp://hdl.handle.net/10447/74647