Topological and geometrical entanglement in a model of circular DNA undergoing denaturation
INFM-Dipartimento di Fisica, Università di Padova, 35131 Padova, Italy
2 Sezione INFN, Università di Padova, 35131 Padova, Italy
Corresponding author: a firstname.lastname@example.org
Published online: 13 August 2002
The linking number (topological entanglement) and the writhe (geometrical entanglement) of a model of circular double stranded DNA undergoing a thermal denaturation transition are investigated by Monte Carlo simulations. By allowing the linking number to fluctuate freely in equilibrium we see that the linking probability undergoes an abrupt variation (first-order) at the denaturation transition, and stays close to 1 in the whole native phase. The average linking number is almost zero in the denatured phase and grows as the square root of the chain length, N, in the native phase. The writhe of the two strands grows as in both phases.
PACS: 87.14.Gg – DNA, RNA / 87.15.Aa – Theory and modeling; computer simulation / 05.70.Jk – Critical point phenomena
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2002