Breaking of general rotational symmetries by multi-dimensional classical ratchets
Statistical Mechanics
2016-08-31 v1 Mesoscale and Nanoscale Physics
Abstract
We demonstrate that a particle driven by a set of spatially uncorrelated, independent colored noise forces in a bounded, multidimensional potential exhibits rotations that are independent of the initial conditions. We calculate the particle currents in terms of the noise statistics and the potential asymmetries by deriving an n-dimensional Fokker-Planck equation in the small correlation time limit. We analyze a variety of flow patterns for various potential structures, generating various combinations of laminar and rotational flows.
Keywords
Cite
@article{arxiv.cond-mat/0304320,
title = {Breaking of general rotational symmetries by multi-dimensional classical ratchets},
author = {A. W. Ghosh and S. V. Khare},
journal= {arXiv preprint arXiv:cond-mat/0304320},
year = {2016}
}
Comments
Accepted, Physical Review E