Breaking of general rotational symmetries by multidimensional classical ratchets.
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.
Ghosh
A W
AW
School of Electrical and Computer Engineering, Purdue University, West Lafayette, Indiana 47907, USA.
Khare
S V
SV