Quantum-Hard-Sphere System Equations of State Revisited

✍ Scribed by C. Keller; M. de Llano; S.Z. Ren; M.A. Solı́s; George A. Baker; Jr.

• Publisher: Elsevier Science
• Year: 1996
• Tongue: English
• Weight: 422 KB
• Volume: 251
• Category: Article
• ISSN: 0003-4916
• DOI: 10.1006/aphy.1996.0107

✦ Synopsis

Analytical equations of state for boson and fermion hard-sphere fluids ranging from very low to very high densities are constructed. Such equations of state serve as a zero-order (reference) state upon which to build so-called quantum-thermodynamic-perturbation corrections in describing real but simple quantum fluids at zero temperature. The fluid branch extrapolations from the exact low-density series expansions for the energy are carried out by incorporating various physical arguments, such as close packing densities and residues. Modified London equations of state for the high-density crystalline branch agree very well with computer simulations, and at close packing with certain experimental results at high pressure.

1996 Academic Press, Inc.

1. Introduction

The hard-sphere system [1] serves as a first approximation to a many-body system interacting via any pair potential containing a short-ranged repulsive part. The approximation is better at low densities when the particles experience the article no.