Anisotropic diffusion in square lattice potentials: giant enhancement and control

Details Anisotropic diffusion in square lattice potentials: giant enhancement and control Anisotropic diffusion in square lattice potentials: giant enhancement and control

2012-03-13

arxiv.org/abs/1203.2751v1

EPL 97, 60004 (2012)

Physics

Condensed Matter

Statistical Mechanics

7 pages, 7 figures

Scientific paper

10.1209/0295-5075/97/60004

The unbiased thermal diffusion of an overdamped Brownian particle in a square lattice potential is considered in the presence of an externally applied ac driving. The resulting diffusion matrix exhibits two orthogonal eigenvectors with eigenvalues $D_1>D_2>0$, indicating anisotropic diffusion along a "fast" and a "slow principal axis". For sufficiently small temperatures, $D_1$ may become arbitrarily large and at the same time $D_2$ arbitrarily small. The principal diffusion axis can be made to point into (almost) any direction by varying either the driving amplitude or the coupling of the particle to the potential, without changing any other property of the system or the driving.

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