%0 Journal Article %T Collective dynamics in a glass-former with Mari-Kurchan interactions %+ Laboratoire Charles Coulomb (L2C) %A Nishikawa, Yoshihiko %A Ikeda, Atsushi %A Berthier, Ludovic %< avec comité de lecture %Z L2C:22-118 %@ 0021-9606 %J Journal of Chemical Physics %I American Institute of Physics %P 244503 %8 2022-10-10 %D 2022 %Z 2204.05130 %R 10.1063/5.0096356 %Z Physics [physics]/Condensed Matter [cond-mat]/Disordered Systems and Neural Networks [cond-mat.dis-nn] %Z Physics [physics]/Condensed Matter [cond-mat]/Soft Condensed Matter [cond-mat.soft] %Z Physics [physics]/Condensed Matter [cond-mat]/Statistical Mechanics [cond-mat.stat-mech]Journal articles %X We numerically study the equilibrium relaxation dynamics of a two-dimensional Mari-Kurchan glass model. The tree-like structure of particle interactions forbids both non-trivial 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 which 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. %G English %L hal-03807702 %U https://hal.science/hal-03807702 %~ CNRS %~ L2C %~ UNIV-MONTPELLIER %~ UM-2015-2021 %~ UM-EPE