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 (1)
Cited by in corpus (8)
- Strong pressure-energy correlations in van der Waals liquids
- Pressure-energy correlations in liquids. II. Analysis and consequences
- Pressure-energy correlations and thermodynamic scaling in viscous Lennard-Jones liquids
- Feasibility of single-order parameter description of equilibrium viscous liquid dynamics
- Glass-forming liquids: One or more "order" parameters?
- Temperature of systems out of thermodynamic equilibrium
- Solution of the spherically symmetric linear thermoviscoelastic problem in the inertia-free limit
- Solidity of viscous liquids. V. Long-wavelength dominance of the dynamics