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.
Categories: hep-lat cond-mat.stat-mech