Friction phenomena and phase transition in the underdamped two-dimensional Frenkel-Kontorova model
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Yang, YangDuan, Wen-Shan
Chen, Jian-Min
Yang, Lei
Tekić, Jasmina
Shao, Zhi-Gang
Wang, Cang-Long
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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.
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Physical Review E, 2010, 82, 5Funding / projects:
- China National Natural Science Foundation [10775157, 10875098], Natural Science Foundation of Northwest Normal University [NWNU-KJCXGC-03-48], Chinese Academy of Sciences
DOI: 10.1103/PhysRevE.82.051119
ISSN: 1539-3755
PubMed: 21230449
WoS: 000284259300001
Scopus: 2-s2.0-78651374668
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VinčaTY - 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 . .