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Article Dans Une Revue Physical Review X Année : 2023

Scaling Description of Dynamical Heterogeneity and Avalanches of Relaxation in Glass-Forming Liquids

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We provide a theoretical description of dynamical heterogeneities in glass-forming liquids, based on the premise that relaxation occurs via local rearrangements coupled by elasticity. In our framework, the growth of the dynamical correlation length ξ and of the correlation volume χ4 are controlled by a zero-temperature fixed point. We connect this critical behavior to the properties of the distribution of local energy barriers at zero temperature. Our description makes a direct connection between dynamical heterogeneities and avalanche-type relaxation associated to dynamic facilitation, allowing us to relate the size distribution of heterogeneities to their time evolution. Within an avalanche, a local region relaxes multiple times, the more the larger is the avalanche. This property, related to the nature of the zero-temperature fixed point, directly leads to decoupling of particle diffusion and relaxation time (the so-called Stokes-Einstein violation). Our most salient predictions are tested and confirmed by numerical simulations of scalar and tensorial thermal elasto-plastic models.
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hal-04391062 , version 1 (12-01-2024)

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Ali Tahaei, Giulio Biroli, Misaki Ozawa, Marko Popović, Matthieu Wyart. Scaling Description of Dynamical Heterogeneity and Avalanches of Relaxation in Glass-Forming Liquids. Physical Review X, 2023, 13 (3), pp.031034. ⟨10.1103/PhysRevX.13.031034⟩. ⟨hal-04391062⟩
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