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

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

2006-05-07

arxiv.org/abs/cond-mat/0605173v2

Phys. Rev. Lett. 97, 208104 (2006)

Physics

Condensed Matter

Statistical Mechanics

5 pages, 2 figures, minor modifications, added discussion on stochastic matrix form decomposition

Scientific paper

10.1103/PhysRevLett.97.208104

We 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.

Affiliated with

Also associated with

No associations

Rating

DNA unzipping and the unbinding of directed polymers in a random media does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with DNA unzipping and the unbinding of directed polymers in a random media, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and DNA unzipping and the unbinding of directed polymers in a random media will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-463057