Positive Kauzmann Temperature: A Thermodynamic Proof and Confirmation by Exact calculations

2003/09/05 by P. D. Gujrati, Gujrati, P. D.
Materials Science · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #FOS: Physical sciences #Material Dynamics and Properties #Materials Science (cond-mat.mtrl-sci) #Statistical Mechanics (cond-mat.stat-mech) #Theoretical and Computational Physics #cond-mat.mtrl-sci #cond-mat.stat-mech

paper · pdf · doi:10.48550/arxiv.cond-mat/0309143

7 pages, 2 figures; content change for clarity

openalex publication_date 2003/09/05 · arxiv created 2003/11/15 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

Assuming the existence of stationary metastable states (SMS's), and using general thermodynamic arguments, we prove that a positive Kauzmann temperature exists for SMS's provided the ideal glass energy is higher than the crystal energy at absolute zero. We confirm the general predictions by two exact calculations, one of which is not mean-field.

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