二维涡旋晶格塑性脱钉的临界行为：分子动力学模拟
Critical behavior of plastic depinning of vortex lattices in two dimensions: Molecular dynamics simulations
摘要：
利用分子动力学模拟，我们研究了二维涡旋晶格在无序介质中的运动。在强无序，当拓扑秩序丢失，我们表明，脱钉过渡类似于一个二阶临界过渡：在运动开始时的速度-力响应是连续的，其特征在于临界指数。结合零和非零温度下的研究，并使用标度分析，两个关键指数进行评估。我们发现在T=0和F>F_c时，v \sim（F-F_c）^β，β=1.3 \pm 0.1;在F=F_c时，v \sim T^{1/δ}，δ^{-1}=0.75 \pm 0.1，其中F_c是晶格从钉扎态转变为滑动态的临界驱动力。临界指数和标度函数被发现表现出关于钉扎强度和不同的无序实现的普遍性。此外，动力学被证明是混沌的整个临界区域。
英文摘要：
Using molecular dynamics simulations, we report a study of the dynamics of two-dimensional vortex lattices driven over a disordered medium. In strong disorder, when topological order is lost, we show that the depinning transition is analogous to a second order critical transition: the velocity-force response at the onset of motion is continuous and characterized by critical exponents. Combining studies at zero and nonzero temperature and using a scaling analysis, two critical expo- nents are evaluated. We find v\sim (F-F_c)^βwith β=1.3\pm0.1 at T=0 and F>F_c, and v\sim T^{1/δ} with δ^{-1}=0.75\pm0.1 at F=F_c, where F_c is the critical driving force at which the lattice goes from a pinned state to a sliding one. Both critical exponents and the scaling function are found to exhibit universality with regard to the pinning strength and different disorder realizations. Furthermore, the dynamics is shown to be chaotic in the whole critical region.
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