2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/142970Using canonical Monte Carlo simulations, we introduce a new numerical procedure for comparing the entropic exponents of polymers with different constraints and/or topologies. Setting up competitions between polymer segments which can exchange monomers according to their free energies, we obtain the universal exponents of partition functions, independently of any knowledge of the non-universal part. The method is successfully tested for closed polymer loops decorated with sliding rings. We also investigate the entropic exponents of loops with a fixed knot type, in which case we are limited by strong finite--size effects.8 pages, 12 figuresSoft Condensed MatterStatistical Mechanicstext