Abstract
The mode-locking phenomena in the dc- and ac-driven overdamped two-dimensional Frenkel-Kontorova model with triangular symmetric structures are studied. The obtained results show that the transverse velocity 〈vx〉 increases in a series of quantized steps nμx (n=0, 1, 2, 3 ···). Moreover, the positive or negative rectification of longitudinal velocity 〈vy〉 can occur when n is an odd number. It is also found in our simulations that the critical depinning force oscillates with the amplitude of ac-driven force, i.e., the system is dominated by the ac-driven force. The oscillatory behavior is strongly determined by the initial phase of ac-force.
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