Specific Heat Exponent for the 3-d Ising Model from a 24-th Order High Temperature Series

摘要

We compute high temperature expansions of the 3-d Ising model using arecursive transfer-matrix algorithm and extend the expansion of the free energyto 24th order. Using ID-Pade and ratio methods, we extract the criticalexponent of the specific heat to be alpha=0.104(4).