The phase transition of the directed polymer on disordered hierarchical lattices |
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Authors: | M. S. Cao |
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Affiliation: | (1) Department of Physics and Astronomy, University of Massachusetts, 01003 Amherst, Massachusetts |
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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. |
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Keywords: | Directed polymer disordered hierarchical lattices renormalization group |
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