Mode-Locking in Driven Disordered Systems as a Boundary-Value Problem

Details Mode-Locking in Driven Disordered Systems as a Boundary-Value Problem Mode-Locking in Driven Disordered Systems as a Boundary-Value Problem

2008-01-30

arxiv.org/abs/0801.4767v1

Physics

Condensed Matter

Statistical Mechanics

6 pages, 7 figures, RevTeX, Submitted

Scientific paper

10.1007/s10955-008-9573-4

We study mode-locking in disordered media as a boundary-value problem. Focusing on the simplest class of mode-locking models which consists of a single driven overdamped degree-of-freedom, we develop an analytical method to obtain the shape of the Arnol'd tongues in the regime of low ac-driving amplitude or high ac-driving frequency. The method is exact for a scalloped pinning potential and easily adapted to other pinning potentials. It is complementary to the analysis based on the well-known Shapiro's argument that holds in the perturbative regime of large driving amplitudes or low driving frequency, where the effect of pinning is weak.

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