Landscape equivalent of the shoving model

Abstract

It is shown that the shoving model expression for the average relaxation time of viscous liquids follows largely from a classical "landscape" estimation of barrier heights from curvature at energy minima. The activation energy involves both instantaneous bulk and shear moduli, but the bulk modulus contributes less than 8% to the temperature dependence of the activation energy. This reflects the fact that the physics of the two models are closely related.

4 pages

References in corpus (6)

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• Energy landscape of a Lennard-Jones liquid: Statistics of stationary points
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Cited by in corpus (28)

• Elastically Cooperative Activated Barrier Hopping Theory of Relaxation in Viscous Fluids. I. General Formulation and Application to Hard Sphere Fluids
• Prevalence of approximate square root t relaxation for the dielectric alpha process in viscous organic liquids
• Approximate square-root-time relaxation in glass-forming liquids
• Elastic models for the non-Arrhenius viscosity of glass-forming liquids
• A brief critique of the Adam-Gibbs entropy model
• The instantaneous shear modulus in the shoving model
• A characteristic energy scale in glasses
• On the correlation between fragility and stretching in glassforming liquids
• Supercooled Liquid Dynamics Studied via Shear-Mechanical Spectroscopy
• Universal divergenceless scaling between structural relaxation and caged dynamics in glass-forming systems
• Solid-that-flows picture of glass-forming liquids
• Effect of Chemical Structure on the Isobaric and Isochoric Fragility in Polychlorinated Biphenyls
• The kinetic fragility of liquids as manifestation of the elastic softening
• Connection between slow and fast dynamics of molecular liquids around the glass transition
• Sound velocities of Lennard-Jones systems near the liquid-solid phase transition
• Point defect in solids: Shear dominance of the far-field energy
• Connection between fragility, mean-squared displacement and shear modulus in two van der Waals bonded glass-forming liquids
• Non-gaussian effects in the cage dynamics of polymers
• Elastic properties of dense hard-sphere fluids
• Interpretation of the apparent activation energy of glass transition
• When do soft spheres become hard spheres?
• Instantaneous shear modulus of Yukawa fluids across coupling regimes
• Assessment of elastic models in supercooled water: A molecular dynamics study with the TIP4P/2005f force field
• First-principles study on the specific heat of glass at glass transition with a case study on glycerol
• Pinning and elastic properties of vortex matter in highly strained Nb${}_{75}$Zr${}_{25}$: Analogy with viscous flow of disordered solids
• Elastic models of the glass transition applied to a liquid with density anomalies
• Note: Shoving model and the glass transition in one-component plasma
• Does mesoscopic elasticity control viscous slowing down in glassforming liquids?