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Comment published on 13 September 2018, see Entropy 2018, 20(9), 703.

Glass Transition, Crystallization of Glass-Forming Melts, and Entropy

Albert-Einstein-Strasse 23-25, 18059 Rostock, Germany
Frank Laboratory of Neutron Physics, Joint Institute for Nuclear Research, Joliot-Curie 6, 141980 Dubna, Russia
Author to whom correspondence should be addressed.
Entropy 2018, 20(2), 103;
Received: 21 December 2017 / Revised: 22 January 2018 / Accepted: 26 January 2018 / Published: 1 February 2018
(This article belongs to the Special Issue Residual Entropy and Nonequilibrium States)
A critical analysis of possible (including some newly proposed) definitions of the vitreous state and the glass transition is performed and an overview of kinetic criteria of vitrification is presented. On the basis of these results, recent controversial discussions on the possible values of the residual entropy of glasses are reviewed. Our conclusion is that the treatment of vitrification as a process of continuously breaking ergodicity with entropy loss and a residual entropy tending to zero in the limit of zero absolute temperature is in disagreement with the absolute majority of experimental and theoretical investigations of this process and the nature of the vitreous state. This conclusion is illustrated by model computations. In addition to the main conclusion derived from these computations, they are employed as a test for several suggestions concerning the behavior of thermodynamic coefficients in the glass transition range. Further, a brief review is given on possible ways of resolving the Kauzmann paradox and its implications with respect to the validity of the third law of thermodynamics. It is shown that neither in its primary formulations nor in its consequences does the Kauzmann paradox result in contradictions with any basic laws of nature. Such contradictions are excluded by either crystallization (not associated with a pseudospinodal as suggested by Kauzmann) or a conventional (and not an ideal) glass transition. Some further so far widely unexplored directions of research on the interplay between crystallization and glass transition are anticipated, in which entropy may play—beyond the topics widely discussed and reviewed here—a major role. View Full-Text
Keywords: crystal nucleation; entropy; Kauzmann paradox crystal nucleation; entropy; Kauzmann paradox
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MDPI and ACS Style

Schmelzer, J.W.P.; Tropin, T.V. Glass Transition, Crystallization of Glass-Forming Melts, and Entropy. Entropy 2018, 20, 103.

AMA Style

Schmelzer JWP, Tropin TV. Glass Transition, Crystallization of Glass-Forming Melts, and Entropy. Entropy. 2018; 20(2):103.

Chicago/Turabian Style

Schmelzer, Jürn W.P., and Timur V. Tropin 2018. "Glass Transition, Crystallization of Glass-Forming Melts, and Entropy" Entropy 20, no. 2: 103.

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