Incollection,

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

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Abstract Book of the XXIII IUPAP International Conference on Statistical Physics, Genova, Italy, (9-13 July 2007)

Abstract

We consider the unbinding of a directed polymer in a random media from a wall in d=1+1 dimensions and a simple model for DNA unzipping. We show that the replicated partition function of the DNA unzipping problem is identical to the replicated generating function for the distance of the directed polymer from the wall. In particular this allows us to derive the probability distribution for finding the directed polymers a distance $z$ from the wall. The implications of these results for the related Kardar-Parisi-Zhang equation and the asymmetric exclusion process are discussed.

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