FROM ZERO-DIMENSION CAVITIES TO FREE-ENERGY FUNCTIONALS FOR HARD DISKS AND HARD-SPHERES

Citation
P. Tarazona et Y. Rosenfeld, FROM ZERO-DIMENSION CAVITIES TO FREE-ENERGY FUNCTIONALS FOR HARD DISKS AND HARD-SPHERES, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 55(5), 1997, pp. 4873-4876
Citations number
26
Categorie Soggetti
Physycs, Mathematical","Phsycs, Fluid & Plasmas
ISSN journal
1063651X
Volume
55
Issue
5
Year of publication
1997
Part
A
Pages
4873 - 4876
Database
ISI
SICI code
1063-651X(1997)55:5<4873:FZCTFF>2.0.ZU;2-W
Abstract
We present a systematic approach to derive fundamental-measure theory free-energy functionals for hard disks and hard spheres, entirely from the exact free energy in the zero-dimensional limit of a narrow cavit y which cannot hold more than one molecule. The functionals are within the generic class that includes the previous successful versions, but have the remarkable property to yield the exact functional for quasi- one-dimensional density distributions.