Maximum-entropy approach to classical hard-sphere and hard-disk equations of state
- 1 August 1991
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 32 (8) , 2258-2262
- https://doi.org/10.1063/1.529200
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 Padé 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.Keywords
This publication has 24 references indexed in Scilit:
- Geometric properties of random disk packingsJournal of Statistical Physics, 1990
- Ground-state Lennard-Jones and Aziz boson liquids: Perturbation theory and computer experimentPhysical Review B, 1989
- Equations of state for hard-sphere fluidsInternational Journal of Thermophysics, 1988
- Phase Transition in a System of Hard Disks by Monte Carlo SimulationPhysical Review Letters, 1987
- Equation of state of the classical hard-disk fluidPhysical Review A, 1985
- Classical and quantum hard sphere fluids: Theory and experimentAnnals of Physics, 1984
- Random close packing of hard spheres and disksPhysical Review A, 1983
- Divergence of the virial series for hard discs and hard spheres at closest packingJournal of Physics C: Solid State Physics, 1979
- The density of random close packing of spheresJournal of Physics D: Applied Physics, 1969
- Critique of the Free Volume Theory of the Liquid StateThe Journal of Chemical Physics, 1950