Maximum-Entropy Approach to Classical Hard-Sphere and Hard-Disk Equations of State
Physics and Astronomy
Mathematics and Natural Sciences
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.,
de Lano, M.
(1991). Maximum-Entropy Approach to Classical Hard-Sphere and Hard-Disk Equations of State. Journal of Mathematical Physics, 32(8), 2258-2262.
Available at: https://aquila.usm.edu/fac_pubs/7046