Rotation in an asymmetric multidimensional periodic potential due to colored noise

TL;DR

This paper investigates how colored noise and spatial asymmetry in a multidimensional periodic potential can induce steady-state particle rotation, revealing diverse flow patterns from laminar drift to rotation.

Contribution

It demonstrates that temporal correlations in noise and potential asymmetry can cause particle rotation, a novel insight into noise-driven dynamics in multidimensional systems.

Findings

Colored noise induces rotation in steady-state.

Spatial asymmetry leads to diverse flow patterns.

Sign change in noise-induced drift causes rotation.

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.