Testing "microscopic" theories of glass-forming liquids

Abstract

We assess the validity of "microscopic" approaches of glass-forming liquids based on the sole k nowledge of the static pair density correlations. To do so we apply them to a benchmark provided by two liquid models that share very similar static pair density correlation functions while disp laying distinct temperature evolutions of their relaxation times. We find that the approaches are unsuccessful in describing the difference in the dynamical behavior of the two models. Our study is not exhausti ve, and we have not tested the effect of adding corrections by including for instance three-body density correlations. Yet, our results appear strong enough to challenge the claim that the slowd own of relaxation in glass-forming liquids, for which it is well established that the changes of the static structure factor with temperature are small, can be explained by "microscopic" appr oaches only requiring the static pair density correlations as nontrivial input.

10 pages, 7 figs; Accepted to EPJE Special Issue on The Physics of Glasses. Arxiv version contains an addendum to the appendix which does not appear in published version

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Cited by in corpus (21)

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• Elastically Cooperative Activated Barrier Hopping Theory of Relaxation in Viscous Fluids. I. General Formulation and Application to Hard Sphere Fluids
• Growing point-to-set length scale correlates with growing relaxation times in model supercooled liquids
• Unified Theory of Activated Relaxation in Liquids over 14 Decades in Time
• Glassy dynamics of athermal self-propelled particles: Computer simulations and a nonequilibrium microscopic theory
• Theories of Glass Formation and the Glass Transition
• The role of structure and entropy in determining differences in dynamics for glass formers with different interaction potentials
• Importance of many-body correlations in glass transition: an example from polydisperse hard spheres
• Attractive versus truncated repulsive supercooled liquids: The dynamics is encoded in the pair correlation function
• Microscopic Theory for the Role of Attractive Forces in the Dynamics of Supercooled Liquids
• Static triplet correlations in glass-forming liquids: A molecular dynamics study
• Unraveling the success and failure of mode coupling theory from consideration of entropy
• A Microscopic Theory of Softness in Supercooled Liquids
• The role of pair correlation function in the dynamical transition predicted by the mode coupling theory
• Effect of total and pair configurational entropy in determining dynamics of supercooled liquids over a range of densities
• Microscopic Theory of the Influence of Strong Attractive Forces on the Activated Dynamics of Dense Glass and Gel Forming Fluids
• Identifying structural signature of dynamical heterogeneity via the local softness parameter
• Enhancing tracer diffusivity by tuning interparticle interactions and coordination shell structure
• How attractive and repulsive interactions affect structure ordering and dynamics of glass-forming liquids?
• A Comparative Study of a Class of Mean Field Theories of the Glass Transition
• Replica Field Theory for a Generalized Franz--Parisi Potential of Inhomogeneous Glassy Systems: New Closure and the Associated Self-Consistent Equation