2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/95135We discuss the possibility of using generalized canonical distributions, i.e. using other factors than $\exp(-βE)$, in order to compute the equilibrium properties of physical systems. It will be show that some other choices can, in certain cases, lead to a simpler calculation of those properties. The corresponding equivalence between the canonical and the generalized canonical distributions is derived using well-known principles of Statistical Mechanics and we exemplify the method by deriving in a simple way the equilibrium properties of the long--range Ising model.Statistical Mechanicstext