Irrational mode locking in quasiperiodic systems

Creighton K. Thomas, A. Alan Middleton

Research output: Contribution to journalArticlepeer-review

4 Scopus citations


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
Issue number14
StatePublished - Apr 6 2007

ASJC Scopus subject areas

  • General Physics and Astronomy


Dive into the research topics of 'Irrational mode locking in quasiperiodic systems'. Together they form a unique fingerprint.

Cite this