Convergence of virial expansions

Abstract

Some bounds are obtained on script R sign(V), the radius of convergence of the density expansion for the logarithm of the grand partition function of a system of interacting particles in a finite volume V, and on script R sign, the radius of convergence of the corresponding infinite-volume expansion (the virial expansion). A common lower bound on script R sign(V) and script R sign is 0.28952/(u + 1)B, where u ≡ exp [-Min s -1Σi < 0.28952/(u + 1)B. Copyright © 1964 by the American Institute of Physics.