English

Directing Brownian motion on a periodic surface

Statistical Mechanics 2009-11-13 v1

Abstract

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.

Keywords

Cite

@article{arxiv.0903.2736,
  title  = {Directing Brownian motion on a periodic surface},
  author = {D. Speer and R. Eichhorn and P. Reimann},
  journal= {arXiv preprint arXiv:0903.2736},
  year   = {2009}
}

Comments

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

R2 v1 2026-06-21T12:41:01.543Z