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26 April 2024

» arxiv » cond-mat/0610852

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Single-order-parameter description of glass-forming liquids: A one-frequency test
Niels L. Ellegaard ; Tage Christensen ; Peder Voetmann Christiansen ; Niels Boye Olsen ; Ulf R. Pedersen ; Thomas B. Schrøder ; Jeppe C. Dyre ;
Date:	30 Oct 2006
Subject:	Soft Condensed Matter
Abstract:	Thermo-viscoelastic linear-response functions are calculated from the master equation describing the inherent dynamics of a viscous liquid. From the imaginary parts of the frequency-dependent isobaric specific heat, isothermal compressibility, and isobaric thermal expansion coefficient, we define a "linear dynamic Prigogine-Defay ratio" with the property that if it is unity at one frequency, then it is unity at all frequencies. It is shown that this happens if and only if there is a single-order-parameter description of the thermo-viscoelastic linear responses via an order parameter which may be non-exponential in time. Generalizations to other cases of thermodynamic control parameters than temperature and pressure are treated in an Appendix.
Source:	arXiv, cond-mat/0610852
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