Kirkwood Phase Transition for Boson and Fermion Hard-Sphere Systems
| dc.creator | Solis, M. A. | |
| dc.creator | de Llano, M. | |
| dc.creator | Clark, J. W. | |
| dc.date | 2003-06-12 | |
| dc.date.accessioned | 2026-07-07T02:51:48Z | |
| dc.date.available | 2026-07-07T02:51:48Z | |
| dc.description | The London ground-state energy formula as a function of number density $ρ$ for a system of boson hard spheres of diameter $c$ at zero temperature (corrected for the reduced mass of a pair of particles in a ``sphere-of-influence'' picture) generalized to describe fermion hard-sphere systems with four and two intrinsic degrees of freedom such as helium-three or neutron matter and symmetric nuclear matter, respectively, is proposed as the crystalline energy branch for hard-sphere systems. For the fluid branch we use the well-known, exact, low-density equation-of-state expansions for many-boson and many-fermion systems, appropriately extrapolated to physical densities. Here, via a double-tangent construction the crystallization and melting densities for boson and fermion hard spheres are determined. They agree well with variational Monte Carlo, density-functional, and Green Function Monte Carlo calculations. | |
| dc.description | 13 pages including 4 figures | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0306338 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0306338 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/21605 | |
| dc.subject | Statistical Mechanics | |
| dc.subject | Soft Condensed Matter | |
| dc.title | Kirkwood Phase Transition for Boson and Fermion Hard-Sphere Systems | |
| dc.type | text |