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 . .

TY  - JOUR
AU  - Wang, Cang-Long
AU  - Tekić, Jasmina
AU  - Duan, Wen-Shan
AU  - Shao, Zhi-Gang
AU  - Yang, Lei
PY  - 2011
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/4547
AB  - 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.
T2  - Physical Review E
T1  - Existence and stability of the resonant phenomena in the dc- and ac-driven overdamped Frenkel-Kontorova model with the incommensurate structure
VL  - 84
IS  - 4
DO  - 10.1103/PhysRevE.84.046603
ER  - 

@article{
author = "Wang, Cang-Long and Tekić, Jasmina and Duan, Wen-Shan and Shao, Zhi-Gang and Yang, Lei",
year = "2011",
abstract = "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.",
journal = "Physical Review E",
title = "Existence and stability of the resonant phenomena in the dc- and ac-driven overdamped Frenkel-Kontorova model with the incommensurate structure",
volume = "84",
number = "4",
doi = "10.1103/PhysRevE.84.046603"
}

Wang, C., Tekić, J., Duan, W., Shao, Z.,& Yang, L.. (2011). Existence and stability of the resonant phenomena in the dc- and ac-driven overdamped Frenkel-Kontorova model with the incommensurate structure. in Physical Review E, 84(4).
https://doi.org/10.1103/PhysRevE.84.046603

Wang C, Tekić J, Duan W, Shao Z, Yang L. Existence and stability of the resonant phenomena in the dc- and ac-driven overdamped Frenkel-Kontorova model with the incommensurate structure. in Physical Review E. 2011;84(4).
doi:10.1103/PhysRevE.84.046603 .

Wang, Cang-Long, Tekić, Jasmina, Duan, Wen-Shan, Shao, Zhi-Gang, Yang, Lei, "Existence and stability of the resonant phenomena in the dc- and ac-driven overdamped Frenkel-Kontorova model with the incommensurate structure" in Physical Review E, 84, no. 4 (2011),
https://doi.org/10.1103/PhysRevE.84.046603 . .

TY  - JOUR
AU  - Yang, Yang
AU  - Duan, Wen-Shan
AU  - Chen, Jian-Min
AU  - Yang, Lei
AU  - Tekić, Jasmina
AU  - Shao, Zhi-Gang
AU  - Wang, Cang-Long
PY  - 2010
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/4147
AB  - Locked-to-sliding phase transition has been studied in the driven two-dimensional Frenkel-Kontorova model with the square symmetric substrate potential. It is found that as the driving force increases, the system transfers from the locked state to the sliding state where the motion of particles is in the direction different from that of driving force. With the further increase in driving force, at some critical value, the particles start to move in the direction of driving force. These two critical forces, the static friction or depinning force, and the kinetic friction force for which particles move in the direction of driving force have been analyzed for different system parameters. Different scenarios of phase transitions have been examined and dynamical phases are classified. In the case of zero misfit angle, the analytical expressions for static and kinetic friction force have been obtained.
T2  - Physical Review E
T1  - Friction phenomena and phase transition in the underdamped two-dimensional Frenkel-Kontorova model
VL  - 82
IS  - 5
DO  - 10.1103/PhysRevE.82.051119
ER  - 

@article{
author = "Yang, Yang and Duan, Wen-Shan and Chen, Jian-Min and Yang, Lei and Tekić, Jasmina and Shao, Zhi-Gang and Wang, Cang-Long",
year = "2010",
abstract = "Locked-to-sliding phase transition has been studied in the driven two-dimensional Frenkel-Kontorova model with the square symmetric substrate potential. It is found that as the driving force increases, the system transfers from the locked state to the sliding state where the motion of particles is in the direction different from that of driving force. With the further increase in driving force, at some critical value, the particles start to move in the direction of driving force. These two critical forces, the static friction or depinning force, and the kinetic friction force for which particles move in the direction of driving force have been analyzed for different system parameters. Different scenarios of phase transitions have been examined and dynamical phases are classified. In the case of zero misfit angle, the analytical expressions for static and kinetic friction force have been obtained.",
journal = "Physical Review E",
title = "Friction phenomena and phase transition in the underdamped two-dimensional Frenkel-Kontorova model",
volume = "82",
number = "5",
doi = "10.1103/PhysRevE.82.051119"
}

Yang, Y., Duan, W., Chen, J., Yang, L., Tekić, J., Shao, Z.,& Wang, C.. (2010). Friction phenomena and phase transition in the underdamped two-dimensional Frenkel-Kontorova model. in Physical Review E, 82(5).
https://doi.org/10.1103/PhysRevE.82.051119

Yang Y, Duan W, Chen J, Yang L, Tekić J, Shao Z, Wang C. Friction phenomena and phase transition in the underdamped two-dimensional Frenkel-Kontorova model. in Physical Review E. 2010;82(5).
doi:10.1103/PhysRevE.82.051119 .

Yang, Yang, Duan, Wen-Shan, Chen, Jian-Min, Yang, Lei, Tekić, Jasmina, Shao, Zhi-Gang, Wang, Cang-Long, "Friction phenomena and phase transition in the underdamped two-dimensional Frenkel-Kontorova model" in Physical Review E, 82, no. 5 (2010),
https://doi.org/10.1103/PhysRevE.82.051119 . .