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

Borko D. Stošić, Tatijana Stošić and Ivon P. Fittipaldi

Physica A: Statistical Mechanics and its Applications, 2009, vol. 388, issue 7, 1074-1078

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 T2=2kB−1Jln(2+1) and TBP=kB−1Jln(3), 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.

Keywords: Cayley tree; Ising model; Phase transitions (search for similar items in EconPapers)
Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:388:y:2009:i:7:p:1074-1078

DOI: 10.1016/j.physa.2008.12.051

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