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

2009 ◽  
Vol 79 (2) ◽  
Author(s):  
J. S. Høye
Keyword(s):  
Critical Region ◽  
Lattice Gases ◽  
Self Consistent ◽  
Approximation Analysis ◽  
Reference Theory

Analysis of the critical region of the hierarchical reference theory

2011 ◽  
Vol 109 (23-24) ◽  
pp. 2773-2786 ◽  
Author(s):  
Johan S. Høye ◽  
Enrique Lomba
Keyword(s):  
Critical Region ◽  
Reference Theory

Self-Consistent Ornstein-Zernike Approximation for Lattice Gases

1996 ◽  
Vol 77 (6) ◽  
pp. 996-999 ◽  
Author(s):  
Ronald Dickman ◽  
George Stell
Keyword(s):  
Lattice Gases ◽  
Self Consistent

Improvement of the Bethe–Peierls approximation to lattice gases

1985 ◽  
Vol 63 (9) ◽  
pp. 1258-1263
Author(s):  
Hiromu Asada
Keyword(s):  
Critical Temperature ◽  
Thermodynamic Properties ◽  
Triangular Lattice ◽  
Lattice Gases ◽  
Nearest Neighbour ◽  
Improved Method ◽  
Self Consistent

The Bethe–Peierls approximation to lattice gases is improved by introducing new self-consistent parameters relating to positional correlation between atoms. The improved method is applied to the triangular lattice with first nearest neighbour attractive interactions. Calculated critical temperature and critical thermodynamic properties show better agreement with the exact ones than those in the normal Bethe–Peierls approximation.

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