论文标题
驱动驱动的布朗动力学研究部分固定在固定中心的正方形阵列的存在下：增强的固定固定靠近熔化过渡
Brownian dynamics study of driven partially pinned solid in the presence of square array of pinning centers: Enhanced pinning close to the melting transition
论文作者
论文摘要
在带有方形对称性和填充比1 $的基板的情况下，一组$ 2D $的相互作用的涡流可以显示出低温固相，其中仅存在基板的相互晶格向量之一\ cite {toby1，fasano，fasano}。该部分固定的涡旋晶格通过连续过渡\ cite {toby1}融化到调制液体中。进行了布朗动力学模拟，以研究驱动的部分固体在不同温度下的行为。高于静止阈值的力的平均涡旋速度显示出具有温度的非单调行为，平均速度接近熔点的平均速度最小。这让人联想到随机疾病的涡流系统中看到的峰值效应。当接近$ T_C $时，粒子遇到的障碍的有效增加可以在当前系统中进行定性解释。通过模拟的近似计算能量屏障随温度的函数支持了这一主张。
A set of interacting vortices in $2D$ in the presence of a substrate with square symmetry and at filling ratio $1$ can display a low temperature solid phase where only one of the reciprocal lattice vectors of the substrate is present\cite{toby1,fasano}. This partially pinned vortex lattice melts to a modulated liquid via a continuous transition \cite{toby1}. Brownian dynamics simulation is carried out to study the behavior of driven partially pinned solid at different temperatures. The average vortex velocity for forces above the depinning threshold shows a non-monotonic behavior with temperature, with a minimum in the average velocity close to the melting point. This is reminiscent of the peak effect seen in vortex systems with random disorder. This effect in the current system can be qualitatively explained by an effective increase in the barriers encountered by the particles as $T_c$ is approached. Approximate calculation of the energy barriers as a function of temperature, from the simulation supports this claim.
