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
School
Mathematics and Natural Sciences
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
Recommended Citation
Wang, D.,
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