Strange attractor in the Potts spin glass on hierarchical lattices |
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Authors: | Washington de Lima G. Camelo-Neto S. Coutinho |
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Affiliation: | 1. Universidade Federal de Pernambuco, Centro Acadêmico do Agreste, Pernambuco, Brazil;2. Universidade Federal de Alagoas, Núcleo de Ciências Exatas, Laboratório de Física Teórica e Computacional, CEP 57309-005 Arapiraca, Alagoas, Brazil;3. Universidade Federal de Pernambuco, Departamento de Física, Laboratório de Física Teórica e Computacional, Cidade Universitária, CEP 50670-901 Recife, Pernambuco, Brazil |
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Abstract: | The spin-glass q-state Potts model on d -dimensional diamond hierarchical lattices is investigated by an exact real space renormalization group scheme. Above a critical dimension dl(q) for q>2, the coupling constants probability distribution flows to a low-temperature strange attractor or to the high-temperature paramagnetic fixed point, according to the temperature is below or above the critical temperature Tc(q,d). The strange attractor was investigated considering four initial different distributions for q=3 and d=5 presenting strong robustness in shape and temperature interval suggesting a condensed phase with algebraic decay. |
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Keywords: | Spin glass Potts model Strange attractor Hierarchical lattices |
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