MAXIMUM-ENTROPY APPROACH TO CLASSICAL HARD-SPHERE AND HARD-DISK EQUATIONS OF STATE
Physics and Astronomy
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.
JOURNAL OF MATHEMATICAL PHYSICS
Mead, L. R.,
(1991). MAXIMUM-ENTROPY APPROACH TO CLASSICAL HARD-SPHERE AND HARD-DISK EQUATIONS OF STATE. JOURNAL OF MATHEMATICAL PHYSICS, 32(8), 2258-2262.
Available at: http://aquila.usm.edu/fac_pubs/7046