2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/18131We study a spatially extended model of noise-induced magnetization reversal: a classical Ginzburg-Landau theory, restricted to a bounded interval and perturbed by weak spatiotemporal noise. We compute the activation barrier and Kramers prefactor. As the interval length increases, a transition between activation regimes occurs, at which the prefactor diverges. We relate this to transitions that occur in low-temperature quantum field theory.REVTeX, 4 pages, 3 Postscript figuresStatistical MechanicsHigh Energy Physics - TheoryDroplet Nucleation and Domain Wall Motion in a Bounded Intervaltext