Thermodynamic interpretation of the scaling of the dynamics of supercooled liquids

Details Thermodynamic interpretation of the scaling of the dynamics of supercooled liquids Thermodynamic interpretation of the scaling of the dynamics of supercooled liquids

2006-05-11

arxiv.org/abs/cond-mat/0605304v1

Physics

Condensed Matter

Soft Condensed Matter

24 pages, 7 figures

Scientific paper

10.1063/1.2206582

The recently discovered scaling law for the relaxation times, tau=f(T,V^g), where T is temperature and V the specific volume, is derived by a revision of the entropy model of the glass transition dynamics originally proposed by Avramov [I. Avramov, J. Non-Cryst. Solids 262, 258 (2000).]. In this modification the entropy is calculated by an alternative route, while retaining the approximation that the heat capacity is constant with T and P. The resulting expression for the variation of the relaxation time with T and V is shown to accurately fit experimental data for several glass-forming liquids and polymers over an extended range encompassing the dynamic crossover. From this analysis, which is valid for any model in which the relaxation time is a function of the entropy. we find that the scaling exponent g can be identified with the Gruneisen constant.

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