Poland-Scheraga models and the DNA denaturation transition

Details Poland-Scheraga models and the DNA denaturation transition Poland-Scheraga models and the DNA denaturation transition

2003-02-25

arxiv.org/abs/cond-mat/0302514v3

J. Stat. Phys. 115 (2004), 943-965

Physics

Condensed Matter

Statistical Mechanics

23 pages, 4 figures; v2: new section 2.4, changes in introduction and conclusion; v3: major changes, version as published

Scientific paper

10.1023/B:JOSS.0000022370.48118.

Poland-Scheraga models were introduced to describe the DNA denaturation transition. We give a rigorous and refined discussion of a family of these models. We derive possible scaling functions in the neighborhood of the phase transition point and review common examples. We introduce a self-avoiding Poland-Scheraga model displaying a first order phase transition in two and three dimensions. We also discuss exactly solvable directed examples. This complements recent suggestions as to how the Poland-Scheraga class might be extended in order to display a first order transition, which is observed experimentally.

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