Directed Polymers on a Factorized Disorder Landscape

Details Directed Polymers on a Factorized Disorder Landscape Directed Polymers on a Factorized Disorder Landscape

1998-03-20

arxiv.org/abs/cond-mat/9803254v1

Physics

Condensed Matter

Statistical Mechanics

4 pages, 4 .eps figures

Scientific paper

10.1103/PhysRevLett.81.1023

We study the Directed Polymer model subject to a particular form of disorder, $\eta(x,t)=\eta_X(x) \eta_T(t)$, recently proposed in biological applications. We find that two new universality classes arise, depending on the the lattice geometry. Using an intermediate model linking the two different orientations continuously, we find that there is a phase transition separating two distinct scaling phases. For both phases we get a reasonable understanding of the nature and values of the exponents, corroborated with numerical results.

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