Third and Fourth Order Phase Transitions: Exact Solution for the Ising Model on the Cayley Tree

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dc.creatorStosic, Borko D.
dc.creatorStosic, Tatijana
dc.creatorFittipaldi, Ivon P.
dc.date2005-04-07
dc.date.accessioned2026-07-07T03:04:28Z
dc.date.available2026-07-07T03:04:28Z
dc.descriptionAn exact analytical derivation is presented, showing that the Ising model on the Cayley tree exhibits a line of third order phase transition points, between temperatures $T_2=2k_B^{-1}J\ln ({\sqrt 2}+1) $ and $T_{BP}=k_B^{-1}J\ln (3)$, and a line of fourth order phase transitions between $T_{BP}$ and $\infty$, where $k_B$ is the Boltzmann constant, and $J$ is the nearest-neighbor interaction parameter.
dc.description4 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/cond-mat/0504161
dc.identifierhttp://arxiv.org/abs/cond-mat/0504161
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/26152
dc.subjectStatistical Mechanics
dc.titleThird and Fourth Order Phase Transitions: Exact Solution for the Ising Model on the Cayley Tree
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