2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/212963We study by Molecular Dynamics simulation the slowing down of particle motion in a two-dimensional monatomic model: a Lennard-Jones liquid on the hyperbolic plane. The negative curvature of the embedding space frustrates the long-range extension of the local hexagonal order. As a result, the liquid avoids crystallization and forms a glass. We show that, as temperature decreases, the single particle motion displays the canonical features seen in real glassforming liquids: the emergence of a "plateau" at intermediate times in the mean square displacement and a decoupling between the local relaxation time and the (hyperbolic) diffusion constant.Article for the "11th International Workshop on Complex Systems"Statistical MechanicsSelf-diffusion in a monatomic glassforming liquid embedded in the hyperbolic planetext