2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/28106A quench in an overdamped one dimensional $ϕ^4$ model is studied by analytical and numerical methods. For an infinite system or a finite system with free boundary conditions, the density of kinks after the transition is proportional to the eighth root of the rate of the quench. For a system with periodic boundary conditions, it is proportional to the fourth root of the rate. The critical exponent predicted in Zurek scenario is put in question.4 pages in RevTex + 1 .ps fileCondensed MatterHigh Energy Physics - PhenomenologyHigh Energy Physics - Theorytext