2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/21349Contrary to many recent models of growing networks, we present a model with fixed number of nodes and links, where it is introduced a dynamics favoring the formation of links between nodes with degree of connectivity as different as possible. By applying a local rewiring move, the network reaches equilibrium states assuming broad degree distributions, which have a power law form in an intermediate range of the parameters used. Interestingly, in the same range we find non-trivial hierarchical clustering.4 pages, revtex4, 5 figures. v2: corrected statements about equilibriumStatistical MechanicsAdaptation and Self-Organizing SystemsScale free networks from a Hamiltonian dynamicstext