Title

MAXIMUM-ENTROPY APPROACH TO CLASSICAL HARD-SPHERE AND HARD-DISK EQUATIONS OF STATE

Document Type

Article

Publication Date

8-1-1991

Department

Physics and Astronomy

Abstract

The maximum-entropy procedure for extrapolating series is applied to sum the known virial series for the hard-disk and hard-sphere fluids. This procedure is found to produce numerical results more accurate than Pade approximants, and it agrees with Monte Carlo simulations of these systems. The maximum-entropy results extrapolate the series smoothly to densities arbitrarily near to maximum close packing, and predict no singularities whatsoever.

Publication Title

JOURNAL OF MATHEMATICAL PHYSICS

Volume

32

Issue

8

First Page

2258

Last Page

2262