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We demonstrate that a particle driven by a set of spatially uncorrelated,independent colored noise forces in a bounded, multidimensional potentialexhibits rotations that are independent of the initial conditions. We calculatethe particle currents in terms of the noise statistics and the potentialasymmetries by deriving an n-dimensional Fokker-Planck equation in the smallcorrelation time limit. We analyze a variety of flow patterns for variouspotential structures, generating various combinations of laminar and rotationalflows.Comment: Accepted, Physical Review

Breaking of general rotational symmetries by multidimensional classical ratchets