Dynamic criticality in glass-forming liquids

Abstract

We propose that the dynamics of supercooled liquids and the formation of glasses can be understood from the existence of a zero temperature dynamical critical point. To support our proposal, we derive from simple physical assumptions a dynamic field theory for supercooled liquids, which we study using the renormalization group (RG). Its long time behaviour is dominated by a zero temperature critical point, which for dimensions d > 2 belongs to the directed percolation universality class. Molecular dynamics simulations confirm the existence of dynamic scaling behaviour consistent with the RG predictions.

4 pages, 2 figures

References in corpus (16)

• Nonequilibrium Critical Phenomena and Phase Transitions into Absorbing States
• Glassy dynamics of kinetically constrained models
• Scaling behavior in the $\beta$-relaxation regime of a supercooled Lennard-Jones mixture
• Spatial Correlations of Mobility and Immobility in a Glassforming Lennard-Jones Liquid
• Geometrical explanation and scaling of dynamical heterogeneities in glass forming systems
• Dynamics of Highly Supercooled Liquids:Heterogeneity, Rheology, and Diffusion
• Fragilities of Liquids Predicted from the Random First Order Transition Theory of Glasses
• Coarse-grained microscopic model of glass formers
• Time and length scales in supercooled liquids
• Field Theory of Branching and Annihilating Random Walks
• Renormalization Group Study of the A+B->0 Diffusion-Limited Reaction
• Real space origin of temperature crossovers in supercooled liquids
• The Asymmetric One-Dimensional Constrained Ising Model
• Nanometer Scale Dielectric Fluctuations at the Glass Transition
• Non-topographic description of inherent structure dynamics in glass formers
• Finite size scaling analysis of the glass transition

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