Third and Fourth Order Phase Transitions: Exact Solution for the Ising Model on the Cayley Tree
Stosic, Borko D. · Stosic, Tatijana · Fittipaldi, Ivon P.
Original · EN
An 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 T₂=2kB⁻¹J (√ 2+1) and TBP=kB⁻¹J (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.
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