Mode-locking in driven disordered systems as a boundary-value problem

William Kung, M. Cristina Marchetti

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


We study mode-locking in disordered media as a boundary-value problem. Focusing on the simplest class of mode-locking models that 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.

Original languageEnglish (US)
Pages (from-to)945-955
Number of pages11
JournalJournal of Statistical Physics
Issue number5
StatePublished - Sep 2008


  • Arnol'd tongues
  • Boundary-value problem
  • Mode-locking

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics


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