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受驱弗伦克尔 - 康托洛娃型模型中的欠阻尼相称动力学。

Underdamped commensurate dynamics in a driven Frenkel-Kontorova-type model.

作者信息

Vanossi A, Röder J, Bishop A R, Bortolani V

机构信息

Theoretical Division and Center for Nonlinear Studies, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA.

出版信息

Phys Rev E Stat Nonlin Soft Matter Phys. 2003 Jan;67(1 Pt 2):016605. doi: 10.1103/PhysRevE.67.016605. Epub 2003 Jan 15.

DOI:10.1103/PhysRevE.67.016605
PMID:12636623
Abstract

The dynamics of a Frenkel-Kontorova chain subject to a substrate potential with a multiple-well structure and driven by an external dc force is studied in the underdamped regime. Making a rational choice among the three inherent length scales characterizing the system allows us to consider the possible formation of commensurate structures during sliding over the complex on-site potential. We comment both on the nature of the particle dynamics in the vicinity of the pinning-depinning transition point, and on the dynamical states displayed during the chain motion at different strengths of the dc driving. Varying the number of particles in the simulations allows us to consider, on a multiple-well substrate, the role played by the coverage variable on the depinning mechanism. The dependence of the minimal force required to initiate the chain motion (static friction) on the ratio of the model interaction strengths is analyzed and compared to the well-known case of the standard Frenkel-Kontorova model, which has only two inherent lengths.

摘要

研究了在欠阻尼状态下,受具有多阱结构的衬底势作用并由外部直流力驱动的弗伦克尔 - 康托罗娃链的动力学。在表征该系统的三个固有长度尺度中做出合理选择,使我们能够考虑在复杂的在位势上滑动期间可能形成的 commensurate 结构。我们既评论了钉扎 - 解钉扎转变点附近粒子动力学的性质,也评论了在不同直流驱动强度下链运动期间所展示的动力学状态。在模拟中改变粒子数量使我们能够在多阱衬底上考虑覆盖变量在解钉扎机制中所起的作用。分析了启动链运动所需的最小力(静摩擦力)对模型相互作用强度之比的依赖性,并与仅具有两个固有长度的标准弗伦克尔 - 康托罗娃模型的著名情况进行了比较。

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