Irrational mode locking in quasiperiodic systems

Creighton K. Thomas, A. Alan Middleton

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

Abstract

A model for ac-driven systems, based on the Tang-Wiesenfeld-Bak- Coppersmith-Littlewood automaton for an elastic medium, exhibits mode-locked steps with frequencies that are irrational multiples of the drive frequency, when the pinning is spatially quasiperiodic. Detailed numerical evidence is presented for the large-system-size convergence of such a mode-locked step. The irrational mode locking is stable to small thermal noise and weak disorder. Continuous-time models with irrational mode locking and possible experimental realizations are discussed.

Original languageEnglish (US)
Article number148001
JournalPhysical Review Letters
Volume98
Issue number14
DOIs
StatePublished - Apr 6 2007

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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