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arXiv 1104.5146cond-mat.supr-concond-mat.stat-mech
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AC驱动下磁通线的标度行为和新的蠕变运动

Scaling Behaviors and Novel Creep Motion of Flux Lines under AC Driving

W. -P. Cao, M. -B. Luo, X. Hu

摘要:

我们对具有随机点状钉扎中心的II型超导体中的\textit{ac}驱动磁通线进行了朗之万动力学模拟。成功揭示了磁通线速度在临界\textit{dc}脱钉力附近相对于小频率瞬时驱动力的标度特性,为动态临界指数的精确估计提供了理论依据.从标度函数中,我们导出了与规则振动激活相关的蠕变定律。当瞬时驱动力增加时,有效能垒在临界直流脱钉点以平方根方式消失。在常规蠕变运动中,频率起着与温度类似的作用,但是以由临界指数控制的非平凡的方式。我们还进行了系统的有限尺寸标度分析磁通线速度在瞬态过程中与\textit{dc}驱动,这提供了估计的临界指数与交流驱动的一致。标度律检验成功。

英文摘要:

We performed Langevin dynamics simulations for the \textit{ac} driven flux lines in a type II superconductor with random point-like pinning centers. Scaling properties of flux-line velocity with respect to instantaneous driving force of small frequency and around the critical \textit{dc} depinning force are revealed successfully, which provides precise estimates on dynamic critical exponents. From the scaling function we derive a creep law associated with the activation by the regular shaking. The effective energy barrier vanishes at the critical dc depinning point in a square-root way when the instantaneous driving force increases. The frequency plays a similar role of temperature in conventional creep motions, but in a nontrivial way governed by the critical exponents. We have also performed systematic finite-size scaling analysis for flux-line velocity in transient processes with \textit{dc} driving, which provide estimates on critical exponents in good agreement with those derived with ac driving. The scaling law is checked successfully.

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