Publication: Modelling disorder: the cases of wetting and DNA denaturation
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ISSN: 434-6028 (print version)
ISSN: 1434-6036 (online version)
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2007
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Springer
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Abstract
We study the effect of the composition of the genetic sequence on the melting temperature of
double stranded DNA, using some simple analytically solvable models proposed in the framework of the
wetting problem. We review previous work on disordered versions of these models and solve them when
there were not preexistent solutions. We check the solutions with Monte Carlo simulations and transfer
matrix numerical calculations. We present numerical evidence that suggests that the logarithmic corrections
to the critical temperature due to disorder, previously found in RSOS models, apply more generally to
ASOS and continuous models. The agreement between the theoretical models and experimental data shows
that, in this context, disorder should be the crucial ingredient of any model while other aspects may be kept
very simple, an approach that can be useful for a wider class of problems. Our work has also implications
for the existence of correlations in DNA sequences.
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European Physical Journal B: Condensed Matter and Complex Systems, vol. 56, n.3, 2007. Pp. 253-258