Authors
F Falo, LM Floría, PJ Martínez, JJ Mazo
Publication date
1993/9/1
Journal
Physical Review B
Volume
48
Issue
10
Pages
7434
Publisher
American Physical Society
Description
The dissipative dynamics of commensurate structures of the one-dimensional Frenkel-Kontorova model submitted to dc and ac forces is studied. The average velocity varies with the average external force as a staircase (dynamical mode locking). We characterize the unlocking transition as a transition from temporal periodicity to quasiperiodicity by using standard tools of the theory of dynamical systems. This transition is phenomenologically described as the generation of coherent, time-localized, and regularly-distributed increases of the particle velocities (instantons), which carry out a topological charge, the origin of which is the discrete character of the symmetry group of transformations of the locked steady state.
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Scholar articles
F Falo, LM Floría, PJ Martínez, JJ Mazo - Physical Review B, 1993