论文标题
自发对称性断裂和跨相变形成的拓扑缺陷的通用间距分布的局部性
Locality of Spontaneous Symmetry Breaking and Universal Spacing Distribution of Topological Defects Formed Across a Phase Transition
论文作者
论文摘要
连续相变的穿越会导致形成拓扑缺陷，并由kibble-zurek机理（KZM）预测的密度形成。我们表征了产生的非平衡状态下点状拓扑缺陷的空间分布，并使用托有泊松点过程在任意空间维度中使用KZM密度进行模拟。一维$ ϕ^4 $理论中的数值仿真揭示了由于扭结不包括的体积所引起的短途缺陷缺陷校正，而在两个空间维度中，我们的模型准确地描述了涡流间距分布，以强键耦合的超导体指示缺陷置式孔子的抑制。
The crossing of a continuous phase transition results in the formation of topological defects with a density predicted by the Kibble-Zurek mechanism (KZM). We characterize the spatial distribution of point-like topological defects in the resulting nonequilibrium state and model it using a Poisson point process in arbitrary spatial dimension with KZM density. Numerical simulations in a one-dimensional $ϕ^4$ theory unveil short-distance defect-defect corrections stemming from the kink excluded volume, while in two spatial dimensions, our model accurately describes the vortex spacing distribution in a strongly-coupled superconductor indicating the suppression of defect-defect spatial correlations.
