Long period structures of the Mg base laves phases derived by the method of the classical lattice gas model

1979 ◽  
Author(s):  
Y. Kitano ◽  
T. Ohba ◽  
Y. Komura
1999 ◽  
Vol 13 (02) ◽  
pp. 191-205 ◽  
Author(s):  
S. ROMANO

We have considered a classical lattice-gas model, consisting of a two-dimensional lattice Z2, each site of which hosts at most one two-component unit vector; particles occupying pairs of nearest-neighbouring sites interact via the ferromagnetic potential [Formula: see text] where νj=0,1 denotes occupation numbers, uj are the unit vectors (classical spins) and ∊ is a positive constant setting energy and temperature scales; the total Hamiltonian is given by [Formula: see text] where ∑{j<k} denotes sum over all distinct nearest-neighbouring pairs of lattice sites. The saturated-lattice version of this model, where all sites are occupied, supports the well-known Berezhinskiĭ–Kosterlitz–Thouless transition; we report here a simulation study, carried out for both μ= 0.1 and μ=-0.2, showing evidence of a transition of this kind, in broad qualitative agreement with previous Renormalization-Group studies.


1996 ◽  
Vol 54 (6) ◽  
pp. R2820-R2822 ◽  
Author(s):  
S. Das Gupta ◽  
J. Pan ◽  
M. B. Tsang

2012 ◽  
Vol 65 ◽  
pp. 157-164 ◽  
Author(s):  
Alejandro Ramirez ◽  
Daniel Esteban Jaramillo

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