2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/24572Dynamical mean-field approximations are performed to study the phase transition of a pair contact process with diffusion in different spatial dimensions. The level of approximation is extended up to 18-site clusters for the one-dimensional model. The application of coherent anomaly method shows that the critical $β$ exponent does not depend on the strength of diffusion rate. The extension of the mean-field approximation to higher dimensions also suggests that the critical behavior may be described by a unique set of exponents.4 pages, 3 figures, added references and table is extendedStatistical Mechanicstext