Zeros of the Grand Partition Function of a Hardhyphen;Core Lattice Gas

摘要

A lattice gas on anMtimes;infin; square lattice with nearesthyphen;neighbor exclusion is studied in a ``grand pressure ensemble.'' It is shown how to calculate the distribution of the zeros of the grand partition function. Explicit results forM5 are given. The nearest singularity to the origin in the complex fugacity plane is on the negative real axis, and extrapolation of its position to an infin;times;infin; lattice yields the estimateRsime;0.1190 for the radius of convergence of the fugacity series. This value agrees well with Gaunt and Fisher's estimate which they obtained by analyzing the first 13 terms of the fugacity series.