Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
977281 | Physica A: Statistical Mechanics and its Applications | 2009 | 5 Pages |
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=2kBâ1Jln(2+1) and TBP=kBâ1Jln(3), and a line of fourth order phase transitions between TBP and â, where kB is the Boltzmann constant, and J is the nearest-neighbor interaction parameter.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Borko D. StoÅ¡iÄ, Tatijana StoÅ¡iÄ, Ivon P. Fittipaldi,