Directing Brownian motion on a periodic surface

Details Directing Brownian motion on a periodic surface Directing Brownian motion on a periodic surface

2009-03-16

arxiv.org/abs/0903.2736v1

Physics

Condensed Matter

Statistical Mechanics

4 Pages, 4 figures, accepted for Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.102.124101

We consider an overdamped Brownian particle, exposed to a two-dimensional, square lattice potential and a rectangular ac-drive. Depending on the driving amplitude, the linear response to a weak dc-force along a lattice symmetry axis consist in a mobility in basically any direction. In particular, motion exactly opposite to the applied dc-force may arise. Upon changing the angle of the dc-force relatively to the square lattice, the particle motion remains predominantly opposite to the dc-force. The basic physical mechanism consists in a spontaneous symmetry breaking of the unbiased deterministic particle dynamics.

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