Thermodynamic interpretation of the scaling of the dynamics of supercooled liquids
arXiv:cond-mat/0605304 · doi:10.1063/1.2206582
Abstract
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.
arXiv comment24 pages, 7 figures
References in corpus (11)
- The relationship between fragility, configurational entropy and the potential energy landscape of glass forming liquids
- Thermodynamical Scaling of the Glass Transition Dynamics
- Neutron Scattering Studies of the Model Glass Former Ortho-terphenyl
- Broadband Dielectric Spectroscopy on Glass-Forming Propylene Carbonate
- Scaling the alpha-relaxation time of supercooled fragile organic liquids
- Scaling of the supercooled dynamics and its relation to the pressure dependences of the dynamic crossover and the fragility of glass-formers
- Disentangling density and temperature effects in the viscous slowing down of glassforming liquids
- Fast relaxation in a fragile liquid under pressure
- Why liquids are fragile
- Energy landscapes, ideal glasses, and their equation of state
- Effect of Volume and Temperature on the Global and Segmental Dynamics in Polypropylene Glycol and 1,4-polyisoprene
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