Kauzmann Paradox: a crossover due to diminishing local excitations

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.

Appendix D2 derives results in 2D, while the PRB version presents them in d-dimensions

References in corpus (5)

• Theoretical perspective on the glass transition and amorphous materials
• Statistical mechanics of coupled supercooled liquids in finite dimensions
• Diffusion coefficient power laws and defect-driven glassy dynamics in swap acceleration
• Emergence of two-level systems in glass formers: a kinetic Monte Carlo study
• Large heat-capacity jump in cooling-heating of fragile glass from kinetic Monte Carlo simulations based on a two-state picture

Cited by in corpus (2)

• Surface mobility gradient and emergent facilitation in glassy films
• The distinguishable-particle lattice model of glasses in three dimensions