Directing Brownian Motion on a Periodic Surface

Speer D, Eichhorn R, Reimann P (2009)
PHYSICAL REVIEW LETTERS 102(12).

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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.
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Speer D, Eichhorn R, Reimann P. Directing Brownian Motion on a Periodic Surface. PHYSICAL REVIEW LETTERS. 2009;102(12).
Speer, D., Eichhorn, R., & Reimann, P. (2009). Directing Brownian Motion on a Periodic Surface. PHYSICAL REVIEW LETTERS, 102(12).
Speer, D., Eichhorn, R., and Reimann, P. (2009). Directing Brownian Motion on a Periodic Surface. PHYSICAL REVIEW LETTERS 102.
Speer, D., Eichhorn, R., & Reimann, P., 2009. Directing Brownian Motion on a Periodic Surface. PHYSICAL REVIEW LETTERS, 102(12).
D. Speer, R. Eichhorn, and P. Reimann, “Directing Brownian Motion on a Periodic Surface”, PHYSICAL REVIEW LETTERS, vol. 102, 2009.
Speer, D., Eichhorn, R., Reimann, P.: Directing Brownian Motion on a Periodic Surface. PHYSICAL REVIEW LETTERS. 102, (2009).
Speer, David, Eichhorn, Ralf, and Reimann, Peter. “Directing Brownian Motion on a Periodic Surface”. PHYSICAL REVIEW LETTERS 102.12 (2009).
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