Inclusion of short-range order in a mean field theory for the disordered magnetic lattice gas

1992 ◽  
Vol 25 (7) ◽  
pp. 1885-1901
Author(s):  
T Taucher ◽  
N E Frankel
Keyword(s):  
Field Theory ◽  
Short Range ◽  
Short Range Order ◽  
Lattice Gas ◽  
Mean Field Theory ◽  
Mean Field ◽  
Range Order ◽  
Disordered Magnetic

Long-Range Order and Short-Range Order inPd3V: Breakdown of the Mean-Field Theory

1987 ◽  
Vol 58 (21) ◽  
pp. 2245-2248 ◽  
Author(s):  
F. Solal ◽  
R. Caudron ◽  
F. Ducastelle ◽  
A. Finel ◽  
A. Loiseau
Keyword(s):  
Field Theory ◽  
Long Range ◽  
Short Range ◽  
Short Range Order ◽  
Mean Field Theory ◽  
Mean Field ◽  
Range Order ◽  
Long Range Order ◽  
The Mean

Transitions de phase dans une couche monomoléculaire sur un substrat liquide adhésif

1975 ◽  
Vol 53 (21) ◽  
pp. 2369-2374 ◽  
Author(s):  
Alain Caillé ◽  
Göran Ågren
Keyword(s):  
Field Theory ◽  
Nematic Phase ◽  
Short Range ◽  
Mean Field Theory ◽  
Mean Field ◽  
Isotropic Phase ◽  
Minimum Length ◽  
Monomolecular Layer ◽  
Short Range Repulsion ◽  
Breadth Ratio

We use a lattice model to characterize the state of a monomolecular layer of long and rigid molecules. The solutions are obtained using a mean field theory with only short range repulsion forces. The basic results are: (1) a stable nematic phase for a region of density above a minimum length to breadth ratio; (2) the transition between the nematic phase and the isotropic phase is found to be second order. The results are in excellent agreement with those obtained with a mercury subphase.

An Avoidance Model for Short-Range Order Induced by Soft Repulsions in Systems of Rigid Rods

1996 ◽  
Vol 463 ◽  
Author(s):  
Jining Han ◽  
Judith Herzfeld
Keyword(s):  
Short Range ◽  
Short Range Order ◽  
Mean Field ◽  
Axial Ratio ◽  
Field Approximation ◽  
Particle Systems ◽  
Range Order ◽  
Mean Field Approximation ◽  
Hard Particle ◽  
Rigid Rods

ABSTRACTThe effects of soft repulsions on hard particle systems are calculated using an avoidance model which improves upon the simple mean field approximation. The method not only yields a better free energy, but also gives an estimate for the short-range positional order induced by soft repulsions. The results indicate little short-range order for isotropically oriented rods. However, for parallel rods short-range order increases to significant levels as the particle axial ratio increases.

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