2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/164086We introduce a schematic non-linear diffusion model where density fluctuations induce a rich out of equilibrium dynamics. The properties of the model are studied by numerical simulations and analytically in a mean field approximation. At low temperatures and high densities we find a long off-equilibrium glassy region, where the system evolves out of an initially pinned state showing aging and a slow decay of the autocorrelation as an enhanced power law, along with strong spatial heterogeneities and violation of the fluctuation dissipation theorem.4 pages, 2 figuresStatistical MechanicsOff-equilibrium dynamics in a singular diffusion modeltext