Issue |
EPL
Volume 146, Number 3, May 2024
|
|
---|---|---|
Article Number | 36001 | |
Number of page(s) | 7 | |
Section | Condensed matter and materials physics | |
DOI | https://doi.org/10.1209/0295-5075/ad3b35 | |
Published online | 15 May 2024 |
Mean-field analysis of the glassy dynamics of an elastoplastic model of super-cooled liquids
Laboratoire de Physique de l'Ecole Normale Supérieure - ENS, Université PSL, CNRS, Sorbonne Université, Université de Paris - F-75005 Paris, France
Received: 9 December 2023
Accepted: 5 April 2024
We present a mean-field theory of a coarse-grained model of a super-cooled liquid in which relaxation occurs via local plastic rearrangements. Local relaxation can be induced by thermal fluctuations or by the long-range elastic consequences of other rearrangements. We extract the temperature dependence of both the relaxation time and the length scale of dynamical correlations. We find two dynamical regimes. First, a regime in which the characteristic time and length scales diverge as a power law at a critical temperature Tc. This regime is found by an approximation that neglects activated relaxation channels, which can be interpreted as akin to the one found by the mode-coupling transition of glasses. In reality, only a crossover takes place at Tc. The residual plastic activity leads to a second regime characterised by an Arrhenius law below Tc. In this case, we show that the length scale governing dynamical correlations diverges as a power law as , and is logarithmically related to the relaxation time.
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