Relaxation dynamics in the energy landscape of glass-forming liquids

Abstract

We numerically study the zero-temperature relaxation dynamics of several glass-forming models to their inherent structures, following quenches from equilibrium configurations sampled across a wide range of initial temperatures. In a mean-field Mari-Kurchan model, we find that relaxation changes from a power-law to an exponential decay below a well-defined temperature, consistent with recent findings in mean-field $p$-spin models. By contrast, for finite-dimensional systems, the relaxation is always algebraic, with a non-trivial universal exponent at high temperatures crossing over to a harmonic value at low temperatures. We demonstrate that this apparent evolution is controlled by a temperature-dependent population of localised glassy excitations. Our work unifies several recent lines of studies aiming at a detailed characterisation of the complex potential energy landscape of glass-formers, and challenges both mean-field and real space descriptions of glasses.

17 pages, 10 figs. V2 accepted for publication at Phys Rev X

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Cited by in corpus (18)

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• Elasticity, Facilitation and Dynamic Heterogeneity in Glass-Forming liquids
• Relevance of Shear Transformations in the Relaxation of Supercooled Liquids
• Universal Origin of Glassy Relaxation as Recognized by Configuration Pattern-matching
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• Computational Methods toward Ultrastable Glasses
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• Gradient descent dynamics and the jamming transition in infinite dimensions