Journal of Statistical Physics

, Volume 145, Issue 3, pp 549–590

The Ising Susceptibility Scaling Function


  • Y. Chan
    • Department of Mathematics and StatisticsThe University of Melbourne
  • A. J. Guttmann
    • Department of Mathematics and StatisticsThe University of Melbourne
  • B. G. Nickel
    • Department of PhysicsUniversity of Guelph
    • Department of PhysicsOklahoma State University
    • Department of Theoretical Physics (RSPE) and Centre for Mathematics and its Applications (CMA)Australian National University

DOI: 10.1007/s10955-011-0212-0

Cite this article as:
Chan, Y., Guttmann, A.J., Nickel, B.G. et al. J Stat Phys (2011) 145: 549. doi:10.1007/s10955-011-0212-0


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.


Ising modelSusceptibilityTriangular latticeHoneycomb latticeSeries expansionCorrections to scaling

Copyright information

© Springer Science+Business Media, LLC 2011