Third and fourth order phase transitions: Exact solution for the Ising model on the Cayley tree |
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| Authors: | Borko D Stoši? Tatijana Stoši? |
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| Institution: | a Departamento de Estatística e Informática, Universidade Federal Rural de Pernambuco, Rua Dom Manoel de Medeiros s/n, Dois Irmãos, 52171-900 Recife-PE, Brazil
b Ministério da Ciência e Tecnologia, Representação Regional do Nordeste, Campus MCT-NE, Av. Prof. Luiz Freire no? 200, Cidade Universitária, 50740-540 Recife-PE, Brazil |
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| Abstract: | In this work we present the first exact solution of a system of interacting particles with phase transitions of order higher than two. The presented analytical derivation shows that the Ising model on the Cayley tree exhibits a line of third order phase transition points, between temperatures  and  , and a line of fourth order phase transitions between TBP and ∞, where kB is the Boltzmann constant, and J is the nearest-neighbor interaction parameter. |
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| Keywords: | 05 50 +q 64 60 Cn 75 10 Hk |
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