论文标题
考兹曼悖论：由于局部激发减少而导致的跨界
Kauzmann Paradox: a crossover due to diminishing local excitations
论文作者
论文摘要
在考兹曼温度下，超冷液体外推至零的配置熵，导致称为考兹曼悖论的危机。在这里，使用一类多组分晶格玻璃模型，我们研究了悖论的分辨率，其特征是熵的突然但光滑，因为温度足够低。模型的标量变体在非常低的温度下以相关性为主的温度性特性再现了Kauzmann悖论。无相关性的确切可解决的矢量变体表明，当离散的局部激发在很大程度上被抑制时，会发生突然的熵转弯。尽管无序且无限退化，但基态每个粒子的熵为零。
The configurational entropy of supercooled liquids extrapolates to zero at the Kauzmann temperature, causing a crisis called the Kauzmann paradox. Here, using a class of multicomponent lattice glass models, we study a resolution of the paradox characterized by a sudden but smooth turn in the entropy as temperature goes sufficiently low. A scalar variant of the models reproduces the Kauzmann paradox with thermodynamic properties at very low temperatures dominated by correlations. An exactly solvable vector variant without correlation illustrates that a sudden entropy turn occurs when discrete local excitations are largely suppressed. Despite being disordered and infinitely degenerate, the ground states have zero entropy per particle.
