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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.
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https://hal.archives-ouvertes.fr/hal-03636595
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Submitted on : Tuesday, May 31, 2022 - 2:37:46 PM
Last modification on : Friday, August 5, 2022 - 2:44:08 PM

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Yoshihiko Nishikawa, Misaki Ozawa, Atsushi Ikeda, Pinaki Chaudhuri, Ludovic Berthier. Relaxation dynamics in the energy landscape of glass-forming liquids. Physical Review X, American Physical Society, 2022, pp.021001. ⟨10.1103/PhysRevX.12.021001⟩. ⟨hal-03636595⟩

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