Title

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

Author(s)/Creator(s)

William Kung, Northwestern University
M. Cristina Marchetti, Syracuse UniversityFollow

Document Type

Article

Date

2-3-2008

Keywords

condensed matter, statistical mechanics

Language

English

Disciplines

Physics

Description/Abstract

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.

Additional Information

This manuscript is from arXiv.org, for more information see http://arxiv.org/abs/0801.4767

Recommended Citation

arXiv:0801.4767v1

Source

harvested from arXiv.org