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The Ising Susceptibility Scaling Function

Statistical Mechanics 2020-02-13 v4 High Energy Physics - Theory Mathematical Physics math.MP

Abstract

We have dramatically extended the zero field susceptibility series at both high and low temperature of the Ising model on the triangular and honeycomb lattices, and used these data and newly available further terms for the square lattice to calculate a number of terms in the scaling function expansion around both the ferromagnetic and, for the square and honeycomb lattices, the antiferromagnetic critical point.

Keywords

Cite

@article{arxiv.1012.5272,
  title  = {The Ising Susceptibility Scaling Function},
  author = {Y. Chan and A. J. Guttmann and B. G. Nickel and J. H. H. Perk},
  journal= {arXiv preprint arXiv:1012.5272},
  year   = {2020}
}

Comments

PDFLaTeX, 50 pages, 5 figures, zip file with series coefficients and background data in Maple format provided with the source files. Vs2: Added dedication and made several minor additions and corrections. Vs3: Minor corrections. Vs4: No change to eprint. Added essential square-lattice series input data (used in the calculation) that were removed from University of Melbourne's website

R2 v1 2026-06-21T17:03:44.047Z