具有易化动力学的微观自旋模型中的非连接玻璃-玻璃转变和燕尾分叉
Disconnected glass-glass transitions and swallowtail bifurcations in microscopic spin models with facilitated dynamics
摘要：
它最近已经建立，异质引导渗流和相关的动态促进模型表现出复杂的层次结构的连续和不连续的过渡，这取决于晶格连接和动力学约束。在这里，以前观察到的相图拓扑结构和高阶奇点的范围扩展到断开的玻璃-玻璃转变和尖点和燕尾分叉（可以是通用的和退化的）。两种不同类型的自旋混合物的相图和序参量的解析确定和实验实现的新的预测出现在我们的方法建议。
英文摘要：
It has been recently established that heterogeneous bootstrap percolation and related dynamic facilitation models exhibit a complex hierarchy of continuous and discontinuous transitions depending on lattice connectivity and kinetic constraints. Here the range of the previously observed phase diagram topologies and higher-order singularities is extended to disconnected glass-glass transitions and to cusp and swallowtail bifurcations (which can be generic and degenerate). The phase diagram and the order parameter for two different types of spin mixtures are analytically determined and an experimental realization of the new predictions emerging in our approach is suggested.
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