Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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2002-07-04

Eur. Phys. J. B 29, 129 (2002)

Physics

Condensed Matter

Statistical Mechanics

7 Pages, RevTeX, 8 Figures

Scientific paper

10.1140/epjb/e2002-00270-2

Recently Garel, Monthus and Orland (Europhys. Lett. v 55, 132 (2001)) considered a model of DNA denaturation in which excluded volume effects within each strand are neglected, while mutual avoidance is included. Using an approximate scheme they found a first order denaturation. We show that a first order transition for this model follows from exact results for the statistics of two mutually avoiding random walks, whose reunion exponent is c > 2, both in two and three dimensions. Analytical estimates of c due to the interactions with other denaturated loops, as well as numerical calculations, indicate that the transition is even sharper than in models where excluded volume effects are fully incorporated. The probability distribution of distances between homologous base pairs decays as a power law at the transition.

**Baiesi Marco**

Physics – Condensed Matter – Statistical Mechanics

Scientist

**Carlon Enrico**

Biology – Quantitative Biology – Biomolecules

Scientist

**Orlandini Enzo**

Physics – Condensed Matter – Statistical Mechanics

Scientist

**Stella Attilio L.**

Physics – Condensed Matter – Statistical Mechanics

Scientist

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