Third and fourth order phase transitions: Exact solution for the Ising model on the Cayley tree期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

Third and fourth order phase transitions: Exact solution for the Ising model on the Cayley tree

Authors:	Borko D. Sto&scaron i?,Tatijana Sto&scaron i?

Affiliation:	^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

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 T_BP and ∞, where k_B is the Boltzmann constant, and J is the nearest-neighbor interaction parameter.

Keywords:	05.50.+q 64.60.Cn 75.10.Hk
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