Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2011-08-27
Physical Review E 84(4), 041935,2011
Physics
Condensed Matter
Statistical Mechanics
9 pages, 4 figures
Scientific paper
10.1103/PhysRevE.84.041935
The denaturation transition which takes place in circular DNA is analyzed by extending the Poland-Scheraga model to include the winding degrees of freedom. We consider the case of a homopolymer whereby the winding number of the double stranded helix, released by a loop denaturation, is absorbed by \emph{supercoils}. We find that as in the case of linear DNA, the order of the transition is determined by the loop exponent $c$. However the first order transition displayed by the PS model for $c>2$ in linear DNA is replaced by a continuous transition with arbitrarily high order as $c$ approaches 2, while the second-order transition found in the linear case in the regime $1
Bar Amir
Kabakcioglu Alkan
Mukamel David
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