Ratchet effect and amplitude dependence of phase locking in a two-dimensional Frenkel-Kontorova model
Apstrakt
We demonstrate the ratchet and phase locking effects in a two-dimensional overdamped Frenkel-Kontorova model with a square symmetric periodic substrate when both a longitudinal dc drive and a circular ac drive are applied. Besides the harmonic steps, the large half integer steps can also clearly be seen in the longitudinal (x) direction. These half integer steps are directly correlated to the appearance of positive and negative ratchet effects in the transverse (y) direction due to the symmetry breaking in the combination of the dc and ac drives. The angle between the net displacement and the longitudinal direction is analytically obtained in a single period of the ac drive. In the examination of the amplitude dependence of the ac drive, the maxima decrease monotonically with the amplitude, while the anomalies occur for the critical depinning force and the harmonic steps due to the spatial symmetry breaking of orbits in the presence of the ac drive. (C) 2013 American Institute of Physi...cs. [http://dx.doi.org/10.1063/1.4776226]
Izvor:
Journal of Chemical Physics, 2013, 138, 3Finansiranje / projekti:
- Fotonika mikro i nano strukturnih materijala (RS-MESTD-Integrated and Interdisciplinary Research (IIR or III)-45010)
- Strategic Priority Research Program of the Chinese Academy of Sciences [XDA01020304], China National Natural Science Foundation [91226101, 91026005, 11275156, 11105054], PCSIRT
DOI: 10.1063/1.4776226
ISSN: 0021-9606; 1089-7690
PubMed: 23343276
WoS: 000313671700017
Scopus: 2-s2.0-84872794332
Kolekcije
Institucija/grupa
VinčaTY - JOUR AU - Wang, Cang-Long AU - Tekić, Jasmina AU - Duan, Wen-Shan AU - Shao, Zhi-Gang AU - Yang, Lei PY - 2013 UR - https://vinar.vin.bg.ac.rs/handle/123456789/5271 AB - We demonstrate the ratchet and phase locking effects in a two-dimensional overdamped Frenkel-Kontorova model with a square symmetric periodic substrate when both a longitudinal dc drive and a circular ac drive are applied. Besides the harmonic steps, the large half integer steps can also clearly be seen in the longitudinal (x) direction. These half integer steps are directly correlated to the appearance of positive and negative ratchet effects in the transverse (y) direction due to the symmetry breaking in the combination of the dc and ac drives. The angle between the net displacement and the longitudinal direction is analytically obtained in a single period of the ac drive. In the examination of the amplitude dependence of the ac drive, the maxima decrease monotonically with the amplitude, while the anomalies occur for the critical depinning force and the harmonic steps due to the spatial symmetry breaking of orbits in the presence of the ac drive. (C) 2013 American Institute of Physics. [http://dx.doi.org/10.1063/1.4776226] T2 - Journal of Chemical Physics T1 - Ratchet effect and amplitude dependence of phase locking in a two-dimensional Frenkel-Kontorova model VL - 138 IS - 3 DO - 10.1063/1.4776226 ER -
@article{ author = "Wang, Cang-Long and Tekić, Jasmina and Duan, Wen-Shan and Shao, Zhi-Gang and Yang, Lei", year = "2013", abstract = "We demonstrate the ratchet and phase locking effects in a two-dimensional overdamped Frenkel-Kontorova model with a square symmetric periodic substrate when both a longitudinal dc drive and a circular ac drive are applied. Besides the harmonic steps, the large half integer steps can also clearly be seen in the longitudinal (x) direction. These half integer steps are directly correlated to the appearance of positive and negative ratchet effects in the transverse (y) direction due to the symmetry breaking in the combination of the dc and ac drives. The angle between the net displacement and the longitudinal direction is analytically obtained in a single period of the ac drive. In the examination of the amplitude dependence of the ac drive, the maxima decrease monotonically with the amplitude, while the anomalies occur for the critical depinning force and the harmonic steps due to the spatial symmetry breaking of orbits in the presence of the ac drive. (C) 2013 American Institute of Physics. [http://dx.doi.org/10.1063/1.4776226]", journal = "Journal of Chemical Physics", title = "Ratchet effect and amplitude dependence of phase locking in a two-dimensional Frenkel-Kontorova model", volume = "138", number = "3", doi = "10.1063/1.4776226" }
Wang, C., Tekić, J., Duan, W., Shao, Z.,& Yang, L.. (2013). Ratchet effect and amplitude dependence of phase locking in a two-dimensional Frenkel-Kontorova model. in Journal of Chemical Physics, 138(3). https://doi.org/10.1063/1.4776226
Wang C, Tekić J, Duan W, Shao Z, Yang L. Ratchet effect and amplitude dependence of phase locking in a two-dimensional Frenkel-Kontorova model. in Journal of Chemical Physics. 2013;138(3). doi:10.1063/1.4776226 .
Wang, Cang-Long, Tekić, Jasmina, Duan, Wen-Shan, Shao, Zhi-Gang, Yang, Lei, "Ratchet effect and amplitude dependence of phase locking in a two-dimensional Frenkel-Kontorova model" in Journal of Chemical Physics, 138, no. 3 (2013), https://doi.org/10.1063/1.4776226 . .