The directed-polymer–directed-percolation transition
The Resnick Building, Minerva Center and Department of Physics
Bar-Ilan University - 52900 Ramat-Gan, Israel
Accepted: 22 January 1999
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 characteristics of the directed polymer below the critical concentration.
PACS: 05.50.+q – Lattice theory and statistics (Ising, Potts, etc.) / 64.60.Ak – Renormalization-group, fractal, and percolation studies of phase transitions / 64.60.Cn – Order-disorder transformations; statistical mechanics of model systems
© EDP Sciences, 1999