DNA unzipping and the unbinding of directed polymers in a random media

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dc.creatorKafri, Yariv
dc.creatorPolkovnikov, Anatoli
dc.date2006-05-07
dc.date2006-08-02
dc.date.accessioned2026-07-07T07:08:48Z
dc.date.available2026-07-07T07:08:48Z
dc.descriptionWe consider the unbinding of a directed polymer in a random media from a wall in $d=1+1$ dimensions and a simple one-dimensional model for DNA unzipping. Using the replica trick we show that the restricted partition functions of these problems are {\em identical} up to an overall normalization factor. Our finding gives an example of a generalization of the stochastic matrix form decomposition to disordered systems; a method which effectively allows to reduce dimensionality of the problem. The equivalence between the two problems, for example, allows us to derive the probability distribution for finding the directed polymer a distance $z$ from the wall. We discuss implications of these results for the related Kardar-Parisi-Zhang equation and the asymmetric exclusion process.
dc.description5 pages, 2 figures, minor modifications, added discussion on stochastic matrix form decomposition
dc.identifierhttps://arxiv.org/abs/cond-mat/0605173
dc.identifierhttp://arxiv.org/abs/cond-mat/0605173
dc.identifierPhys. Rev. Lett. 97, 208104 (2006)
dc.identifierdoi:10.1103/PhysRevLett.97.208104
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/110841
dc.subjectStatistical Mechanics
dc.subjectDisordered Systems and Neural Networks
dc.titleDNA unzipping and the unbinding of directed polymers in a random media
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