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Rotation in an asymmetric multidimensional periodic potential due to colored noise

A. W. Ghosh·S. V. Khare
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Abstract

We analyze the motion of an overdamped classical particle in a multidimensional periodic potential, driven by a weak external noise. We demonstrate that in steady-state, the presence of temporal correlations in the noise and spatial asymmetry within a period of the potential could lead to particle rotation. The rotation is a direct consequence of a change in sign of the noise-induced drift motion in each dimension. By choosing different potentials, we can generate a variety of flow patterns from laminar drifts to rotations.

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A. W. Ghosh, S. V. Khare. 1999-11-09. Rotation in an asymmetric multidimensional periodic potential due to colored noise. https://doi.org/10.1103/physrevlett.84.5243

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