2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/24406We investigate heterogeneous and homogeneous nucleation in nearest-neighbor and long-range Ising models for various quench depths. We find that the system has a true crossover from heterogeneous to homogeneous nucleation for increasing quench depth only if the interaction is sufficiently long-range. The survival curves, defined as the fraction of systems that remain in the metastable state after a given time, have qualitatively different shapes as a function of quench depth for heterogeneous and homogeneous nucleation when the interaction is short-range, but have identical shapes within the accuracy of our data for long-range interactions.4 pages, 6 figuresStatistical MechanicsSoft Condensed Mattertext