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Kauzmann paradox: A possible crossover due to diminishing local excitations

Gao, Xin-Yuan, Ong, Chin-Yuan, Lee, Chun-Shing, Yip, Cho-Tung, Deng, Hai-Yao ORCID: and Lam, Chi-Hang 2023. Kauzmann paradox: A possible crossover due to diminishing local excitations. Physical Review B 107 , 174206. 10.1103/PhysRevB.107.174206

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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

Item Type: Article
Date Type: Published Online
Status: Published
Schools: Physics and Astronomy
Publisher: American Physical Society
ISSN: 2469-9950
Date of First Compliant Deposit: 15 May 2023
Date of Acceptance: 24 April 2023
Last Modified: 17 May 2023 06:28

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