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A thermodynamic theory of supercooled liquids

Author

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  • Kivelson, Daniel
  • Kivelson, Steven A.
  • Zhao, Xiaolin
  • Nussinov, Zohar
  • Tarjus, Gilles

Abstract

A novel thermodynamic theory of the properties of supercooled liquids as they get glassy is presented. It is based on the postulated existence of a narrowly avoided thermodynamic phase transition at a temperature T∗ ⩾ Tm, where Tm is the melting point, and the “avoidance” is due to geometric frustration. We show that as a consequence two large emergent length scales develop at temperatures less than T∗, and we also show that this picture is consistent with appropriate statistical mechanical models. A theoretical expression is obtained which permits collapse of the viscosity versus temperature of all known glass-formers onto a single master-curve.

Suggested Citation

  • Kivelson, Daniel & Kivelson, Steven A. & Zhao, Xiaolin & Nussinov, Zohar & Tarjus, Gilles, 1995. "A thermodynamic theory of supercooled liquids," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 219(1), pages 27-38.
    • Handle: RePEc:eee:phsmap:v:219:y:1995:i:1:p:27-38
    DOI: 10.1016/0378-4371(95)00140-3
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    Cited by:

    1. Liu, Cliff Z.-W. & Oppenheim, Irwin, 1997. "Microscopic theory for hopping transport in glass-forming liquids," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 247(1), pages 183-195.
    2. Robert F. Tournier & Michael I. Ojovan, 2022. "Multiple Melting Temperatures in Glass-Forming Melts," Sustainability, MDPI, vol. 14(4), pages 1-18, February.

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