Directed Polymer -- Directed Percolation Transition

TL;DR

This paper explores the transition of directed polymers between universality classes influenced by directed percolation clusters in a disordered energy landscape, revealing a critical point where the behavior changes.

Contribution

It establishes a connection between directed polymer and directed percolation models, identifying a transition point and the influence of percolation clusters on polymer properties.

Findings

Transition from directed polymer to directed percolation universality class at critical concentration

Directed percolation clusters influence polymer characteristics below critical point

Identification of critical concentration where universality class changes

Abstract

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.