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Large-$q$ expansion of the two-dimensional $q$-state Potts model by the finite lattice method

H. Arisue·K. Tabata
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Abstract

We have calculated the large-$q$ expansion for the energy and magnetization cumulants at the first order phase transition point in the two-dimensional $q$-state Potts model to the 21st or 23rd order in $1/\sqrt{q}$ using the finite lattice method. The obtained series allow us to give highly convergent estimates of the cumulants for $q>4$. The results confirm us the correctness of the conjecture by Bhattacharya {\em et al.} on the asymptotic behavior of the energy cumulants for $q \to 4_+$ and a similar new conjecture on the magnetization cumulants.

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H. Arisue, K. Tabata. 1998-10-23. Large-$q$ expansion of the two-dimensional $q$-state Potts model by the finite lattice method. https://doi.org/10.1016/s0920-5632(99)85194-9

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