Absolute Transverse Mobility and Ratchet Effect on Periodic 2D Symmetric Substrates

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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8 pages, 8 postscript figures. Expanded version with additional phase diagrams and discussion

Scientific paper

10.1103/PhysRevE.68.046102

We present a simple model of an overdamped particle moving on a two dimensional symmetric periodic substrate with a dc drive in the longitudinal direction and additional ac drives in both the longitudinal and transverse directions. For certain regimes we find that a finite longitudinal dc force produces a net dc response only in the transverse direction, which we term absolute transverse mobility. Additionally we find regimes exhibiting a ratchet effect in the absence of an applied dc drive.

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