临界长度尺度下正方形元胞模型的混合
Mixing of the Square Plaquette Model on a Critical Length Scale
摘要：
Plaquette模型是短程铁磁自旋模型，在液态玻璃化转变的动力学促进方法中起着关键作用。在本文中，我们研究了在arXiv：1707.03036中发现的三个临界长度尺度中最小的正方形元胞模型的动力学。我们的主要结果是计算的光谱间隙，混合时间，两个自然边界条件。我们观察到，这些时间尺度在很大程度上依赖于边界条件在这个标度制度。
英文摘要：
Plaquette models are short range ferromagnetic spin models that play a key role in the dynamic facilitation approach to the liquid glass transition. In this paper we study the dynamics of the square plaquette model at the smallest of the three critical length scales discovered in arXiv:1707.03036. Our main result is the computation of the spectral gap, and mixing times, for two natural boundary conditions. We observe that these time scales depend heavily on the boundary condition in this scaling regime.
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