Journal
JOURNAL OF STATISTICAL PHYSICS
Volume 115, Issue 3-4, Pages 925-947Publisher
SPRINGER
DOI: 10.1023/B:JOSS.0000022370.48118.8b
Keywords
DNA denaturation; exactly solvable models; self-avoiding walks; phase transitions
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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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