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The phase transition of the directed polymer on disordered hierarchical lattices
Authors:M S Cao
Institution:(1) Department of Physics and Astronomy, University of Massachusetts, 01003 Amherst, Massachusetts
Abstract:The directed polymer on disordered hierarchical lattices is studied using an exact renormalization scheme. The phase transition is studied and a hyperscaling relation is derived. The fixed distributions of the renormalized energies are obtained numerically. The specific heat and associated exponents are computed from the fixed distributions.
Keywords:Directed polymer  disordered hierarchical lattices  renormalization group
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