Single-order-parameter description of glass-forming liquids: A one-frequency test

Ellegaard, Niels L.; Christensen, Tage; Christiansen, Peder Voetmann; Olsen, Niels Boye; Pedersen, Ulf R.; Schro\der, Thomas B.; Dyre, Jeppe C.
February 2007
Journal of Chemical Physics;2/21/2007, Vol. 126 Issue 7, p074502
Academic Journal
Thermoviscoelastic 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” ΛTp(ω) with the property that if ΛTp(ω)=1 at one frequency, then ΛTp(ω) is unity at all frequencies. This happens if and only if there is a single-order-parameter description of the thermoviscoelastic linear responses via an order parameter (which may be nonexponential in time). Generalizations to other cases of thermodynamic control parameters than temperature and pressure are also presented.


Related Articles

  • Quasi-Periodic Relaxation to a Steady Flow Regime after Pulsed Energy Input into the Incoming Stream. Tarnavskiı, G. A.; Shpak, S. I. // Technical Physics;Mar2000, Vol. 45 Issue 3, p369 

    Numerical simulation was used to analyze the quasi-periodic process induced against the steady flow pattern around a blunt forebody by a pulse from an external source located in the incoming stream. © 2000 MAIK “Nauka / Interperiodica”.

  • Influence of velocity slip and temperature difference on internal relaxation in diatomic—monatomic mixture free-jet expansion. Chidiac, C.; Perrin, M. Y.; Martin, J. P. // Physics of Fluids A;Aug91, Vol. 3 Issue 8, p1991 

    The supersonic expansion of a mixture of a heavy gas and a light gas may result in a velocity slip and a temperature difference between light and heavy species. The purpose of this paper is to study the influence of these phenomena on the relaxation of internal degrees of freedom which takes...

  • A Novel Microfluidic Mixing Element for Viscoelastic Fluids. Afonso, A.; Alves, M. A.; Poole, R. J.; Oliveira, P. J.; Pinho, F. T. // AIP Conference Proceedings;7/7/2008, Vol. 1027 Issue 1, p1009 

    The flow visualizations of viscoelastic flows in the mixing-separating geometry of Cochrane et al. [1] showed provocative flow features that inspired the current numerical research using the upper-convected Maxwell (UCM) model. The effects of Deborah (De) and Reynolds (Re) numbers and gap size...

  • An analytical study of Mach reflection in nonequilibrium steady flows. Grasso, F.; Paoli, R. // Physics of Fluids;Oct99, Vol. 11 Issue 10, p3150 

    Studies the influence of both thermal and chemical relaxation phenomena on steady Mach reflections. Quasi-one-dimensional model for a nonequilibrium diatomic gas coupled with the three shock theory; Mach reflection instabilities; Vibrational relaxation length; Nonlinearity confirmed by a...

  • Bifurcation of viscoelastic fluid counterflows. Makarov, I. // Journal of Engineering Physics & Thermophysics;Nov2012, Vol. 85 Issue 6, p1397 

    One of the phenomena of structural instability observed earlier in viscoelastic fluid flows in cross-channels, namely, the asymmetry of flows in the region of the central singular point is considered. It is shown analytically, by demonstrating symmetric and asymmetric asymptotic solutions in the...

  • Phase transitions induced by thermal fluctuations. Kharchenko, D. O.; Dvornichenko, A. V. // European Physical Journal B -- Condensed Matter;Jan2008, Vol. 61 Issue 1, p95 

    The present study generalizes the model of extended stochastic systems with a field-dependent kinetic coefficient [M. Ibanes, J. Garcia-Ojalvo, R. Toral, J.M. Sancho, Phys. Rev. Lett. 87, 020601 (2001)] to systems with symmetric and asymmetric bistable potentials. It is found that in systems...

  • Thermal relaxation effect on magnetohydrodynamic instability in a rotating micropolar fluid layer heated from below. Othman, M. I. A.; Zaki, S. A. // Acta Mechanica;2004, Vol. 170 Issue 3/4, p187 

    Summary. The effect of a vertical magnetic field on the onset of convective instability in a conducting micropolar fluid (Oldroyd fluid) layer heated from below confined between two horizontal planes under the simultaneous action of the rotation of the system and a vertical temperature gradient...

  • Self-similar clustering of inertial particles and zero-acceleration points in fully developed two-dimensional turbulence. Goto, Susumu; Vassilicos, J. C. // Physics of Fluids;Nov2006, Vol. 18 Issue 11, p115103 

    Clustering of inertial particles in fully developed two-dimensional inverse cascading turbulence occurs for all particle relaxation times ranging from an order of magnitude under the smallest eddy turnover time to an order of magnitude above the largest eddy turnover time. Particle voids and...

  • Internal structure and expansion dynamics of laser ablation plumes into ambient gases. Harilal, S. S.; Bindhu, C. V.; Tillack, M. S.; Najmabadi, F.; Gaeris, A. C. // Journal of Applied Physics;3/1/2003, Vol. 93 Issue 5, p2380 

    The effect of ambient gas on the expansion dynamics of the plasma generated by laser ablation of an aluminum target has been investigated using frequency doubled radiation from a Q-switched Nd:YAG laser. The diagnostic tools include fast photography of overall visible plume emission using a 2 ns...


Read the Article


Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics