2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/87099We studied the formation of complex patterns using a variational principle and a standard energy functional. These patterns evolve by letting the system to search for the optimal configuration of a high conductivity channel, that in one dimension is equivalent to tip effect evolution (evolution towards regions of high electric field).11 pages, 4 figures, submitted to PRL on july 15 2004, rejected for publication in PRLGeneral PhysicsComplex patterns and tip effect evolutiontext