Series studies of the Potts model. II. Bulk series for the square lattice

Abstract

The finite lattice method of series expansion has been used to extend\nlow-temperature series for the partition function, order parameter and\nsusceptibility of the $q$-state Potts model to order $z^{56}$ (i.e. $u^{28}$),\n$z^{47}$, $z^{43}$, $z^{39}$, $z^{39}$, $z^{39}$, $z^{35}$, $z^{31}$ and\n$z^{31}$ for $q = 2$, 3, 4, \\dots 9 and 10 respectively. These series are used\nto test techniques designed to distinguish first-order transitions from\ncontinuous transitions. New numerical values are also obtained for the\n$q$-state Potts model with $q>4$.\n