Large-$q$ expansion of the specific heat for the two-dimensional $q$-state Potts model

Details Large-$q$ expansion of the specific heat for the two-dimensional $q$-state Potts model Large-$q$ expansion of the specific heat for the two-dimensional $q$-state Potts model

1998-07-03

arxiv.org/abs/hep-lat/9807005v1

Phys.Rev. E59 (1999) 186-188

Physics

High Energy Physics

High Energy Physics - Lattice

7 pages, LaTeX, 2 postscript figures

Scientific paper

10.1103/PhysRevE.59.186

We have calculated the large-$q$ expansion for the specific heat at the phase transition point in the two-dimensional $q$-state Potts model to the 23rd order in $1/\sqrt{q}$ using the finite lattice method. The obtained series allows us to give highly convergent estimates of the specific heat for $q>4$ on the first order transition point. The result confirm us the correctness of the conjecture by Bhattacharya et al. on the asymptotic behavior of the specific heat for $q \to 4_+$.

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