具有两个互斥尺度的模型中的不连通玻璃-玻璃相变和扩散反常
Disconnected Glass-Glass Transitions and Diffusion Anomalies in a Model with two Repulsive Length Scales
摘要：
模式耦合理论计算的基础上，我们报告了一个新的情况下，在一个纯粹的排斥球势的多个玻璃化转变：方肩。液态玻璃化转变线表现出冷却熔化和压缩熔化以及相关的扩散异常，类似于在水中观察到的。从所有以前研究的模型，这里为小肩宽的玻璃-玻璃线被发现是断开的液相。在增加肩部宽度时，这样的玻璃-玻璃线与液体-玻璃转变线合并，具有两个不同的端点奇点，这引起动力学中的对数衰减。这些发现可以解释分析不同的排斥长度尺度的相互作用。
英文摘要：
Building on mode-coupling-theory calculations, we report a novel scenario for multiple glass transitions in a purely repulsive spherical potential: the square-shoulder. The liquid-glass transition lines exhibit both melting by cooling and melting by compression as well as associated diffusion anomalies, similar to the ones observed in water. Differently from all previously investigated models, here for small shoulder widths a glass-glass line is found that is disconnected from the liquid phase. Upon increasing the shoulder width such a glass-glass line merges with the liquid-glass transition lines, featuring two distinct endpoint singularities that give rise to logarithmic decays in the dynamics. These findings can be explained analytically by the interplay of different repulsive length scales.
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