Phys. Rev. Lett. 98, 148001 (2007) [4 pages]Irrational Mode Locking in Quasiperiodic SystemsReceived 7 July 2006; published 6 April 2007 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. © 2007 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.98.148001
DOI:
10.1103/PhysRevLett.98.148001
PACS:
45.70.Vn, 05.45.Ra, 47.57.−s, 64.60.Ht
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