scholarly journals A Method of Determining the Ground State of the Extended-Range Classical Lattice Gas Model

1975 ◽  
Vol 54 (1) ◽  
pp. 30-44 ◽  
Author(s):  
M. Kaburagi ◽  
J. Kanamori
Keyword(s):  
Ground State ◽  
Lattice Gas ◽  
Lattice Gas Model ◽  
Classical Lattice ◽  
Extended Range

A Method of Determining the Ground State of the Extended Range Lattice Gas Model with Two Kinds of Particles

1985 ◽  
Vol 54 (9) ◽  
pp. 3362-3375 ◽  
Author(s):  
Takashi Tonegawa ◽  
Koichi Takasaki ◽  
Makoto Kaburagi ◽  
Junjiro Kanamori
Keyword(s):  
Ground State ◽  
Lattice Gas ◽  
Lattice Gas Model ◽  
Extended Range

COMPUTER SIMULATION EVIDENCE FOR A BEREZHINSKIĪ –KOSTERLITZ–THOULESS-LIKE TRANSITION IN A TWO-DIMENSIONAL LATTICE-GAS MODEL

1999 ◽  
Vol 13 (02) ◽  
pp. 191-205 ◽  
Author(s):  
S. ROMANO
Keyword(s):  
Lattice Gas ◽  
Unit Vector ◽  
Lattice Gas Model ◽  
Two Dimensional ◽  
Classical Lattice ◽  
Dimensional Lattice ◽  
Temperature Scales ◽  
Occupation Numbers ◽  
Two Component ◽  
Unit Vectors

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.

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