A model for viscous liquid dynamics 
			 Jeppe C. Dyre,
				Roskilde University, Denmark
			
			Lundi 20/11/2006, 14:15
			Salle Claude Itzykson, Bât. 774, Orme des Merisiers
			Glass-formation is a general property of liquids, an unavoidable process if the
liquid is 
cooled fast enough to avoid crystallization. We first give an overview of the physical 
properties of highly viscous liquids, emphasizing the universal features. The most 
common phenomenological models are then briefly reviewed. The main focus of the talk 
is on a description of highly viscous liquids based on a standard time-dependent 
Ginzburg-Landau equation for the density dynamics, supplemented by the assumption of 
long-wavelength dominance of the dynamics [1]. The density field is described as a non-
conserved field, a feature which reflects the "solidity" of highly viscous liquids -
the 
property that they are more like solids that flow, than like ordinary, less-viscous
liquids. 
The long-wavelength dominance assumption implies that one may assume an ultralocal 
Hamiltonian, thus simplifying the model quite a lot. We finally show how the case with 
just a third-order term is able to reproduce the (conjectured) generic property of
viscous 
liquids that the high-frequency decay of the alpha (main) relaxation process varies
with 
frequency as $\omega^{-1/2}$ [2]. Basically, this comes from a "long-time-tail
mechanism, 
working at a range of short times."
Refs:
1. J. C. Dyre, Europhys. Lett. 71, 646 (2005); Phys. Rev. E 74, 021502 (2006).
2. N. B. Olsen et al, Phys. Rev. Lett. 86, 1271 (2001).