Higher orders of the high-temperature expansion for the Ising model in three dimensions

Abstract

The new algorithm of the finite lattice method is applied to generate the high-temperature expansion series of the simple cubic Ising model to ${\beta }^{50}$ for the free energy, to ${\beta }^{32}$ for the magnetic susceptibility and to ${\beta }^{29}$ for the second moment correlation length. The series are analyzed to give the precise value of the critical point and the critical exponents of the model.

Comments: Lattice2003(Higgs), 3 pages, 2 figures