TY - JOUR
T1 - Irrational mode locking in quasiperiodic systems
AU - Thomas, Creighton K.
AU - Middleton, A. Alan
PY - 2007/4/6
Y1 - 2007/4/6
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=34147145379&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=34147145379&partnerID=8YFLogxK
U2 - 10.1103/PhysRevLett.98.148001
DO - 10.1103/PhysRevLett.98.148001
M3 - Article
AN - SCOPUS:34147145379
SN - 0031-9007
VL - 98
JO - Physical Review Letters
JF - Physical Review Letters
IS - 14
M1 - 148001
ER -