Kauzmann Paradox: a crossover due to diminishing local excitations

Autor:	Gao, Xin-Yuan, Ong, Chin-Yuan, Lee, Chun-Shing, Yip, Cho-Tung, Deng, Hai-Yao, Lam, Chi-Hang
Rok vydání:	2022
Předmět:	Condensed Matter - Statistical Mechanics Condensed Matter - Soft Condensed Matter
Zdroj:	Phys. Rev. B 107, 174206 (2023)
Druh dokumentu:	Working Paper
DOI:	10.1103/PhysRevB.107.174206
Popis:	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. Comment: Appendix D2 derives results in 2D, while the PRB version presents them in d-dimensions
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2211.13511 Zobrazit plný text záznamu View this record from Arxiv