We numerically study the equilibrium relaxation dynamics of a two-dimensional Mari–Kurchan glass model. The tree-like structure of particle interactions forbids both nontrivial structural motifs and the emergence of a complex free-energy landscape leading to a thermodynamic glass transition, while the finite-dimensional nature of the model prevents the existence of a mode-coupling singularity. Nevertheless, the equilibrium relaxation dynamics is shown to be in excellent agreement with simulations performed in conventional glass-formers. Averaged time correlation functions display a phenomenology typical of supercooled liquids, including the emergence of an excess signal in relaxation spectra at intermediate frequencies. We show that this evolution is accompanied by strong signatures of collective and heterogeneous dynamics that cannot be interpreted in terms of single particle hopping and emerge from dynamic facilitation. Our study demonstrates that an off-lattice interacting particle model with extremely simple structural correlations displays quantitatively realistic glassy dynamics.
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28 June 2022
Research Article|
June 23 2022
Collective dynamics in a glass-former with Mari–Kurchan interactions
Special Collection:
Slow Dynamics
Yoshihiko Nishikawa
;
Yoshihiko Nishikawa
a)
(Conceptualization, Investigation, Writing – original draft, Writing – review & editing)
1
Laboratoire Charles Coulomb (L2C), Université de Montpellier, CNRS
, 34095 Montpellier, France
2
Graduate School of Information Sciences, Tohoku University
, Sendai 980-8579, Japan
a)Author to whom correspondence should be addressed: yoshihiko.nishikawa.a7@tohoku.ac.jp
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Atsushi Ikeda
;
Atsushi Ikeda
(Conceptualization, Funding acquisition, Investigation, Writing – original draft, Writing – review & editing)
3
Graduate School of Arts and Sciences, The University of Tokyo
, Tokyo 153-8902, Japan
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Ludovic Berthier
Ludovic Berthier
(Conceptualization, Funding acquisition, Investigation, Writing – original draft, Writing – review & editing)
1
Laboratoire Charles Coulomb (L2C), Université de Montpellier, CNRS
, 34095 Montpellier, France
4
Yusuf Hamied Department of Chemistry, University of Cambridge
, Lensfield Road, Cambridge CB2 1EW, United Kingdom
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a)Author to whom correspondence should be addressed: yoshihiko.nishikawa.a7@tohoku.ac.jp
Note: This paper is part of the JCP Special Topic on Slow Dynamics.
J. Chem. Phys. 156, 244503 (2022)
Article history
Received:
April 18 2022
Accepted:
June 03 2022
Citation
Yoshihiko Nishikawa, Atsushi Ikeda, Ludovic Berthier; Collective dynamics in a glass-former with Mari–Kurchan interactions. J. Chem. Phys. 28 June 2022; 156 (24): 244503. https://doi.org/10.1063/5.0096356
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