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

TL;DR

This paper provides a thermodynamic proof for the existence of a positive Kauzmann temperature in stationary metastable states and confirms it through exact calculations, including a non-mean-field example.

Contribution

It offers a rigorous thermodynamic proof of positive Kauzmann temperature and validates it with exact calculations, expanding understanding of glassy states.

Findings

Positive Kauzmann temperature exists under specified conditions.

Confirmation through two exact calculations, one non-mean-field.

Thermodynamic arguments support metastable glass states.

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.