Phys. Rev. E 67, 056110 (2003) [11 pages]Breaking of general rotational symmetries by multidimensional classical ratchetsReceived 13 December 2002; published 14 May 2003 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. © 2003 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevE.67.056110
DOI:
10.1103/PhysRevE.67.056110
PACS:
05.10.Gg, 05.40.-a, 87.10.+e
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