Mean-field dynamic criticality and geometric transition in the Gaussian core model

Abstract

We use molecular dynamics simulations to investigate dynamic heterogeneities and the potential energy landscape of the Gaussian core model (GCM). Despite the nearly Gaussian statistics of particles' displacements, the GCM exhibits giant dynamic heterogeneities close to the dynamic transition temperature. The divergence of the four-point susceptibility is quantitatively well described by the inhomogeneous version of the Mode-Coupling theory. Furthermore, the potential energy landscape of the GCM is characterized by a geometric transition and large energy barriers, as expected from the lack of activated, hopping dynamics. These observations demonstrate that all major features of mean-field dynamic criticality can be observed in a physically sound, three-dimensional model.

9 pages, 9 figures

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• Studies of the Lennard-Jones fluid in 2, 3, and 4 dimensions highlight the need for a liquid-state 1/d expansion
• Connecting real glasses to mean-field models
• Slow dynamics coupled with cluster formation in ultrasoft-potential glasses
• Universal mechanism of shear thinning in supercooled liquids
• Glassy phases of the Gaussian Core Model
• Characterising the slow dynamics of the swap Monte Carlo algorithm
• Analysis of the anomalous mean field like properties of Gaussian core model in terms of entropy
• Pole Analysis of the Inter-Replica Correlation Function in a Two-Replica System as a Binary Mixture: Mean Overlap in the Cluster Glass Phase