Irrational mode locking in quasiperiodic systems
Soft Condensed Matter
2007-05-23 v2 Superconductivity
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.
Cite
@article{arxiv.cond-mat/0607211,
title = {Irrational mode locking in quasiperiodic systems},
author = {Creighton K. Thomas and A. Alan Middleton},
journal= {arXiv preprint arXiv:cond-mat/0607211},
year = {2007}
}
Comments
4 pages, 3 figures, 1 table; revision: 2 figures modified, reference added, minor clarifications