Ten themes of viscous liquid dynamics

Abstract

Ten "themes" of viscous liquid physics are discussed with a focus on how they point to a general description of equilibrium viscous liquid dynamics (i.e., fluctuations) at a given temperature. This description is based on standard time-dependent Ginzburg-Landau equations for the density fields, stress tensor fields, potential energy density field, and fields quantifying molecular orientations. One characteristic aspect of the theory is that density has the appearance of a non-conserved field. Another characteristic feature is long-wavelength dominance of the dynamics, which not only simplifies the theory by allowing for an ultra-local Hamiltonian (free energy), but also explains the observed general independence of chemistry. Whereas there are no long-ranged static (i.e., equal-time) correlations in the model, there are important long-ranged dynamic correlations on the alpha time scale.

Paper presented at the 4th workshop on non-equilibrium phenomena in supercooled fluids, glasses and amorphous materials (17-22 September, 2006, Pisa)

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Cited by in corpus (10)

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• Density scaling of the diffusion coefficient at various pressures in viscous liquids
• On the Spectral Shape of the Structural Relaxation in Deeply Supercooled Liquids
• Correlation of the scaling exponent of the diffusivity-density function in viscous liquids with their elastic properties
• Solidity of viscous liquids. V. Long-wavelength dominance of the dynamics
• Connecting real glasses to mean-field models
• Liquid dynamics in partially crystalline glycerol
• An Ising model for the thermal and dynamic properties of supercooled liquids and the glass transition
• A plausible interpretation of the density scaling of the diffusivity in viscous liquids