2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/217524The denaturation dynamics of a long double-stranded DNA is studied by means of a model of the Poland-Scheraga type. We note that the linking of the two strands is a locally conserved quantity, hence we introduce local updates that respect this symmetry. Linking dissipation via untwist is allowed only at the two ends of the double strand. The result is a slow denaturation characterized by two time scales that depend on the chain length $L$. In a regime up to a first characteristic time $τ_1\sim L^{2.15}$ the chain embodies an increasing number of small bubbles. Then, in a second regime, bubbles coalesce and form entropic barriers that effectively trap residual double-stranded segments within the chain, slowing down the relaxation to fully molten configurations, which takes place at $τ_2\sim L^3$. This scenario is different from the picture in which the helical constraints are neglected.9 pages, 5 figuresStatistical MechanicsBiomoleculesMultiple timescales in a model for DNA denaturation dynamicstext