scholarly journals Solution of semi-flexible self-avoiding trails on a Husimi lattice built with squares

2017 ◽  
Vol 51 (5) ◽  
pp. 054001 ◽  
Author(s):  
Tiago J Oliveira ◽  
Wellington G Dantas ◽  
Thomas Prellberg ◽  
Jürgen F Stilck
Keyword(s):  
Husimi Lattice

scholarly journals Solution of an associating lattice-gas model with density anomaly on a Husimi lattice

2010 ◽  
Vol 82 (5) ◽  
Author(s):  
Tiago J. Oliveira ◽  
Jürgen F. Stilck ◽  
Marco Aurélio A. Barbosa
Keyword(s):  
Lattice Gas ◽  
Lattice Gas Model ◽  
Density Anomaly ◽  
Husimi Lattice

scholarly journals Correlation Functions of the Ising Model with Multisite Interaction on the Husimi Lattice

1998 ◽  
Vol 12 (23) ◽  
pp. 2349-2358 ◽  
Author(s):  
N. S. Ananikian ◽  
R. G. Ghulghazaryan ◽  
N. Sh. Izmailian
Keyword(s):  
Ising Model ◽  
Fixed Points ◽  
Coordination Number ◽  
Recurrence Relation ◽  
Correlation Functions ◽  
Nearest Neighbor ◽  
Bethe Lattice ◽  
Vertex Model ◽  
Analytical Expression ◽  
Husimi Lattice

We consider a general spin-1/2 Ising model with multisite interaction on the Husimi lattice with the coordination number q and derive an analytical expression of correlation functions for stable fixed points of the corresponding recurrence relation. We show that for q=2 our model transforms to the two-state vertex model on the Bethe lattice with q=3 and for the case q=3, with only nearest neighbor interactions, we transform our model to the corresponding model on the Bethe lattice with q=3, using the Yang–Baxter equations.

Polymers with attractive interactions on the Husimi lattice

2004 ◽  
Vol 37 (37) ◽  
pp. 8811-8821 ◽  
Author(s):  
Pablo Serra ◽  
Jürgen F Stilck ◽  
Welchy L Cavalcanti ◽  
Kleber D Machado
Keyword(s):  
Husimi Lattice
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