Directed Polymer -- Directed Percolation Transition

Details Directed Polymer -- Directed Percolation Transition Directed Polymer -- Directed Percolation Transition

1999-04-08

arxiv.org/abs/cond-mat/9904106v2

Physics

Condensed Matter

Statistical Mechanics

LaTeX 2e; 12 pages, 5 figures; in press, will be published in Europhys. Lett

Scientific paper

10.1209/epl/i1999-00555-0

We study the relation between the directed polymer and the directed percolation models, for the case of a disordered energy landscape where the energies are taken from bimodal distribution. We find that at the critical concentration of the directed percolation, the directed polymer undergoes a transition from the directed polymer universality class to the directed percolation universality class. We also find that directed percolation clusters affect the characterisrics of the directed polymer below the critical concentration.

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