Susceptibility Expansion for Classical Scalar Models

Abstract

We present high-temperature series through tenth order for the susceptibility of all classical scalar models with bilinear nearest-neighbor interactions in the absence of symmetry-breaking fields. As an example of the use of these results we examine the tricritical behavior of triple-well Landau-Wilson models which interpolate between the Blume-Capel and Riedel-Wegner models. The general series are given for the fcc, bcc, and simple cubic lattices.