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arXiv · hep-lat/9312025

Locating analytically critical temperature in some statistical systems

J. Wosiek
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Abstract

We have found a simple criterion which allows for the straightforward determination of the order-disorder critical temperatures. The method reproduces exactly results known for the two dimensional Ising, Potts and $Z(N<5)$ models. It also works for the Ising model on the triangular lattice. For systems which are not selfdual our proposition remains an unproven conjecture. It predicts $β_c=0.2656...$ for the two coupled layers of Ising spins. Critical temperature of the three dimensional Ising model is related to the free energy of the two layer Ising system.

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J. Wosiek. 1993-12-05. Locating analytically critical temperature in some statistical systems. https://doi.org/10.1103/physrevb.49.15023

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