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Breaking of general rotational symmetries by multi-dimensional classical ratchets

A. W. Ghosh·S. V. Khare
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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.

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BibTeXRIS

A. W. Ghosh, S. V. Khare. 2003-04-15. Breaking of general rotational symmetries by multi-dimensional classical ratchets. https://doi.org/10.1103/physreve.67.056110

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