Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2007-05-09
Physical Review E 76, 031125 (2007)
Physics
Condensed Matter
Statistical Mechanics
15 pages and 7 figures
Scientific paper
10.1103/PhysRevE.76.031125
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 \textit{regular} (or periodic, e.g., face-centered-cubic) close-packing density usually associated with a crystalline branch. Improved fluid branches are contructed based upon exact, field-theoretic perturbation-theory low-density expansions for many-boson and many-fermion systems, appropriately extrapolated to intermediate densities, but whose ultimate density is irregular or \textit{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.
Baker George A. Jr.
Clark John Willis
de Llano M.
Solis M. A.
No associations
LandOfFree
Improved Quantum Hard-Sphere Ground-State Equations of State does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Improved Quantum Hard-Sphere Ground-State Equations of State, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Improved Quantum Hard-Sphere Ground-State Equations of State will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-645373