Title

Irrational Mode Locking in Quasiperiodic Systems

Author(s)/Creator(s)

Alan Middleton, Syracuse UniversityFollow
Creighton K. Thomas, Syracuse University

Document Type

Article

Date

2-6-2007

Language

English

Disciplines

Physics

Description/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.

Additional Information

4 pages, 3 figures, 1 table; revision: 2 figures modified, reference added, minor clarifications More information at http://arxiv.org/abs/cond-mat/0607211

Recommended Citation

Middleton, Alan and Thomas, Creighton K., "Irrational Mode Locking in Quasiperiodic Systems" (2007). Physics - All Scholarship. 182.
https://surface.syr.edu/phy/182

Source

Harvested from Arxiv.org

Creative Commons License

This work is licensed under a Creative Commons Attribution 3.0 License.