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The phase transition of the directed polymer on disordered hierarchical lattices

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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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Cao, M.S. The phase transition of the directed polymer on disordered hierarchical lattices. J Stat Phys 71, 51–59 (1993). https://doi.org/10.1007/BF01048087

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