%0 Journal Article %T Relaxation dynamics in the energy landscape of glass-forming liquids %+ Laboratoire Charles Coulomb (L2C) %+ École normale supérieure - Paris (ENS-PSL) %+ The University of Tokyo (UTokyo) %+ Institute of Mathematical Sciences [Chennai] (IMSc) %+ University of Cambridge [UK] (CAM) %A Nishikawa, Yoshihiko %A Ozawa, Misaki %A Ikeda, Atsushi %A Chaudhuri, Pinaki %A Berthier, Ludovic %< avec comité de lecture %Z L2C:22-027 %@ 2160-3308 %J Physical Review X %I American Physical Society %P 021001 %8 2022-04-11 %D 2022 %Z 2106.01755 %R 10.1103/PhysRevX.12.021001 %Z Physics [physics]/Condensed Matter [cond-mat]/Statistical Mechanics [cond-mat.stat-mech] %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]Journal articles %X 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. %G English %2 https://hal.science/hal-03636595/document %2 https://hal.science/hal-03636595/file/PhysRevX.12.021001-1.pdf %L hal-03636595 %U https://hal.science/hal-03636595 %~ ENS-PARIS %~ CNRS %~ L2C %~ PSL %~ UNIV-MONTPELLIER %~ ENS-PSL %~ UM-2015-2021 %~ UM-EPE