Transport in time-dependent random potentials
Statistical Mechanics
2013-08-30 v1 Disordered Systems and Neural Networks
Classical Physics
Abstract
The classical dynamics in stationary potentials that are random both in space and time is studied. It can be intuitively understood with the help of Chirikov resonances that are central in the theory of Chaos, and explored quantitatively in the framework of the Fokker-Planck equation. In particular, a simple expression for the diffusion coefficient was obtained in terms of the average power density of the potential. The resulting anomalous diffusion in velocity is classified into universality classes. The general theory was applied and numerically tested for specific examples relevant for optics and atom optics.
Cite
@article{arxiv.1203.6895,
title = {Transport in time-dependent random potentials},
author = {Yevgeny Krivolapov and Shmuel Fishman},
journal= {arXiv preprint arXiv:1203.6895},
year = {2013}
}
Comments
21 pages, 5 figures