Improved quantum hard-sphere ground-state equations of state

Journal Article · Sat Sep 15 04:00:00 EDT 2007 · Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

DOI:https://doi.org/10.1103/PHYSREVE.76.031125· OSTI ID:21076213

Solis, M A ^[1]; Llano, M de ^[2]; Clark, J W ^[1]; Baker, Jr, George A ^[3]

---

1. Department of Physics, Washington University, St. Louis, Missouri 63130 (United States)
2. Instituto de Investigaciones en Materiales, Universidad Nacional Autonoma de Mexico, Apartado Postal 70-360, 04510 Mexico, D.F. (Mexico) and Consortium of the Americas for Interdisciplinary Science, University of New Mexico, Albuquerque, New Mexico 87131 (United States)
3. Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545 (United States)

The London ground-state energy formula as a function of number density for a system of identical boson hard spheres, corrected for the reduced mass of a pair of particles in a 'sphere-of-influence' picture, and generalized to fermion hard-sphere systems with two and four intrinsic degrees of freedom, has a double-pole at the ultimate regular (or periodic, e.g., face-centered-cubic) close-packing density usually associated with a crystalline branch. Improved fluid branches are constructed based upon exact, field-theoretic perturbation-theory low-density expansions for many-boson and many-fermion systems, extrapolated to intermediate densities via Pade and other approximants, but whose ultimate density is irregular or random closest close-packing as suggested in studies of a classical system of hard spheres. Results show substantially improved agreement with the best available Green-function Monte Carlo and diffusion Monte Carlo simulations for bosons, as well as with ladder, variational Fermi hypernetted chain, and so-called L-expansion data for two-component fermions.

• OSTI ID: 21076213
• Journal Information: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Journal Name: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics Journal Issue: 3 Vol. 76; ISSN PLEEE8; ISSN 1063-651X
• Country of Publication: United States
• Language: English

Related Subjects

36 MATERIALS SCIENCE
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BOSONS
COMPUTERIZED SIMULATION
DEGREES OF FREEDOM
EQUATIONS OF STATE
FCC LATTICES
FERMIONS
GREEN FUNCTION
GROUND STATES
MONTE CARLO METHOD
PERIODICITY
PERTURBATION THEORY
RANDOMNESS
SPHERES
VARIATIONAL METHODS