Breaking of general rotational symmetries by multi-dimensional classical ratchets

Details Breaking of general rotational symmetries by multi-dimensional classical ratchets Breaking of general rotational symmetries by multi-dimensional classical ratchets

2003-04-15

arxiv.org/abs/cond-mat/0304320v1

Physics

Condensed Matter

Statistical Mechanics

Accepted, Physical Review E

Scientific paper

10.1103/PhysRevE.67.056110

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.

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