2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/114100We prove that the logarithmic Sobolev constant for the inhomogeneous symmetric nearest neighbour zero range process on a cube of size N^d grows as N^2. We apply this result to the inhomogeneous process which arises in the study of the homogeneous version of the zero range interacting particle system with colours.Probability60K35; 82C22text