Existence and stability of the resonant phenomena in the dc- and ac-driven overdamped Frenkel-Kontorova model with the incommensurate structure
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Dynamical mode-locking phenomena in the incommensurate structures of the dc- and ac-driven overdamped Frenkel-Kontorova model are studied by molecular-dynamics simulations. The obtained results have shown that Shapiro steps exhibit significantly different amplitude and frequency dependence from the one observed in the commensurate structures. Due to the incommensurability of the system the special symmetry of the motion of particles is broken, and in the amplitude dependence of Shapiro steps, this will result in the appearance of anomalies and deviation from the well-known Bessel-like behavior. In the frequency or period dependence, oscillations have been observed in the high-amplitude limit; however, they exhibit strong anomalies compared with those in the commensurate structures. The oscillatory behavior and the anomalies have been also be revealed in the (F(ac), (F) over bar) and the (nu(0), (F) over bar) phase diagrams where several phases are defined.
Source:Physical Review E, 2011, 84, 4
- Photonics of micro and nano structured materials (RS-45010)
- Chinese Academy of Sciences [XDA01020304], China National Natural Science Foundation [91026005, 10875098, 11105054], Natural Science Foundation of Northwest Normal University [NWNU-KJCXGC-03-48], Foundation for Distinguished Young Talents in Higher Education of Guangdong, China [LYM10065], Northwest Normal University of China