title: Friction phenomena and phase transition in the underdamped two-dimensional Frenkel-Kontorova model.
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.
authors.affiliation: Department of Physics, Northwest Normal University, Lanzhou 730070, People's Republic of China.
authors.forename: Yang
authors.initials: Y
authors.lastname: Yang
authors.forename: Wen-Shan
authors.initials: WS
authors.lastname: Duan
authors.forename: Jian-Min
authors.initials: JM
authors.lastname: Chen
authors.forename: Lei
authors.initials: L
authors.lastname: Yang
authors.forename: Jasmina
authors.initials: J
authors.lastname: Tekić
authors.forename: Zhi-Gang
authors.initials: ZG
authors.lastname: Shao
authors.forename: Cang-Long
authors.initials: CL
authors.lastname: Wang