Kauzmann Paradox: a crossover due to diminishing local excitations
arXiv:2211.13511 · doi:10.1103/PhysRevB.107.174206
Abstract
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.
arXiv commentAppendix D2 derives results in 2D, while the PRB version presents them in d-dimensions
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