Linked-cluster series analysis of the Blume-Capel model

Abstract

Linked-cluster series have been obtained for the Blume-Capel model in an fcc lattice to the eighth order. We show that the linked-cluster series aided by the standard extrapolation techniques provide an effective method in the study of models which display first-order phase transitions as well as second-order phase transitions. The full phase diagram and the tricritical phenomena have been studied. Results are compared with those of the Monte Carlo simulation and the high-temperature and low-temperature series analysis.