Unification of hierarchical reference theory and self-consistent Ornstein-Zernike approximation: analysis of the critical region for fluids and lattice gases

The hierarchical reference theory (HRT) and the self-consistent Ornstein-Zernike approximation (SCOZA) are two liquid state theories that both yield a largely satisfactory description of the critical region as well as the phase coexistence and equation of state in general. In two previous works, uni...

Full description

Saved in:
Bibliographic Details
Published in:Physical review. E, Statistical, nonlinear, and soft matter physics Statistical, nonlinear, and soft matter physics, 2009-02, Vol.79 (2 Pt 1), p.021114-021114, Article 021114
Main Author: Høye, J S
Format: Article
Language:English
Subjects:
Computer Simulation
Gases - chemistry
Models, Chemical
Phase Transition
Rheology - methods
Solutions - chemistry
Thermodynamics
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:The hierarchical reference theory (HRT) and the self-consistent Ornstein-Zernike approximation (SCOZA) are two liquid state theories that both yield a largely satisfactory description of the critical region as well as the phase coexistence and equation of state in general. In two previous works, unification of these theories has been considered and general equations were established. Further it was shown that the solution of the mean spherical model and a generalized version of it can be obtained in this way. In the present work, analysis of the critical region for fluids and lattice gases is performed. A key result of our HRT-SCOZA approximation is that for the standard three-dimensional fluid, lattice gas, or Ising model, the critical index for the critical isotherm is delta=5 and for the curve of coexistence it is beta=13 provided full scaling is assumed. More generally we find beta=2(delta+1) .
ISSN:1539-3755
1550-2376
DOI:10.1103/PhysRevE.79.021114