Single-order-parameter description of glass-forming liquids: A one-frequency test
arXiv:cond-mat/0610852 · doi:10.1063/1.2434963
Abstract
Thermo-viscoelastic linear-response functions are calculated from the master equation describing viscous liquid inherent dynamics. 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 this quantity is unity atone frequency, then it is unity at all frequencies. 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.
Replaces arXiv:cond-mat/0405709
References in corpus (8)
- Crossover to Potential Energy Landscape Dominated Dynamics in a Model Glass-forming Liquid
- Time-temperature superposition in viscous liquids
- Ehrenfest relations at the glass transition: solution to an old paradox
- Minimal model for beta relaxation in viscous liquids
- Kovacs effects in an aging molecular liquid
- Potential Energy Landscape Equation of State
- Energy landscapes, ideal glasses, and their equation of state
- A free-energy landscape picture and Landau theory for the dynamics of disordered materials
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- Pressure-energy correlations in liquids. V. Isomorphs in generalized Lennard-Jones systems
- Density scaling as a property of strongly correlating viscous liquids
- Hidden scale invariance in molecular van der Waals liquids: A simulation study
- Pressure-energy correlations and thermodynamic scaling in viscous Lennard-Jones liquids
- Identical temperature dependence of the time scales of several linear-response functions of two glass-forming liquids
- Feasibility of single-order parameter description of equilibrium viscous liquid dynamics
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- Thermodynamics and dynamics of the inherent states at the glass transition
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