TY  - 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 . .