Detecting temporal correlations in hopping dynamics in Lennard–Jones liquids Sposini, Vittoria Roldán Vargas, Sándalo Glassy systems Hopping dynamics Jump detection Rare events Lennard–Jones mixtures represent one of the popular systems for the study of glass-forming liquids. Spatio/temporal heterogeneity and rare (activated) events are at the heart of the slow dynamics typical of these systems. Such slow dynamics is characterised by the development of a plateau in the mean-squared displacement (MSD) at intermediate times, accompanied by a non-Gaussianity in the displacement distribution identified by exponential tails. As pointed out by some recent works, the non-Gaussianity persists at times beyond the MSD plateau, leading to a Brownian yet non-Gaussian regime and thus highlighting once again the relevance of rare events in such systems. Single-particle motion of glass-forming liquids is usually interpreted as an alternation of rattlingwithin the local cage and cage-escape motion and therefore can be described as a sequence of waiting times and jumps. In this work, by using a simple yet robust algorithm, we extract jumps and waiting times from single-particle trajectories obtained via molecular dynamics simulations. We investigate the presence of correlations between waiting times and find negative correlations, which becomes more and more pronounced when lowering the temperature. 2022-09-08T08:46:20Z 2022-09-08T08:46:20Z 2022-07-21 journal article Vittoria Sposini... [et al.] 2022 J. Phys. A: Math. Theor. 55 324003. [https://doi.org/10.1088/1751-8121/ac7e0a] http://hdl.handle.net/10481/76579 10.1088/1751-8121/ac7e0a eng info:eu-repo/grantAgreement/EC/H2020/847693 info:eu-repo/grantAgreement/EC/H2020/ 840195 http://creativecommons.org/licenses/by/4.0/ open access Atribución 4.0 Internacional Institute of Physics