Order of the phase transition in models of DNA thermal denaturation

Details Order of the phase transition in models of DNA thermal denaturation Order of the phase transition in models of DNA thermal denaturation

2000-04-28

arxiv.org/abs/cond-mat/0004487v2

Physical Review Letters 85, 6 (2000)

Physics

Condensed Matter

Statistical Mechanics

4 pages of Latex, including 4 Postscript figures. To be published in Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.85.6

We examine the behavior of a model which describes the melting of double-stranded DNA chains. The model, with displacement-dependent stiffness constants and a Morse on-site potential, is analyzed numerically; depending on the stiffness parameter, it is shown to have either (i) a second-order transition with "nu_perpendicular" = - beta = 1, "nu_parallel" = gamma/2 = 2 (characteristic of short range attractive part of the Morse potential) or (ii) a first-order transition with finite melting entropy, discontinuous fraction of bound pairs, divergent correlation lengths, and critical exponents "nu_perpendicular" = - beta = 1/2, "nu_parallel" = gamma/2 = 1.

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