The Classical Lattice-Gas Method

1999 ◽  
Author(s):  
Jeffrey Yepez
Keyword(s):  
Lattice Gas ◽  
Classical Lattice

scholarly journals Equilibrium states for a classical lattice gas

1970 ◽  
Vol 18 (1) ◽  
pp. 82-96 ◽  
Author(s):  
H. J. Brascamp
Keyword(s):  
Lattice Gas ◽  
Equilibrium States ◽  
Classical Lattice

scholarly journals Sturmian Ground States in Classical Lattice–Gas Models

2019 ◽  
Vol 178 (3) ◽  
pp. 832-844 ◽  
Author(s):  
Aernout van Enter ◽  
Henna Koivusalo ◽  
Jacek Miȩkisz
Keyword(s):  
Lattice Gas ◽  
Ground States ◽  
Classical Lattice ◽  
Lattice Gas Models

AN ELLIPSOIDAL MOLECULES MODEL OF LIQUID CRYSTAL WITH QUADRUPOLAR INTERACTION: SELF-CONSISTENT FREE ENERGY

1990 ◽  
Vol 04 (09) ◽  
pp. 1589-1609
Author(s):  
M.G. RASETTI ◽  
M.L. RASTELLO
Keyword(s):  
Single Molecule ◽  
Short Range ◽  
Lattice Gas ◽  
Mean Field ◽  
Second Order ◽  
Classical Lattice ◽  
Field Approach ◽  
Self Consistent ◽  
Short Range Correlations ◽  
Second Order Phase Transition

We study the structure of the phase space for a system of N molecules of ellipsoidal symmetry, as a function of concentration and temperature. A classical lattice gas approximation is considered and a single molecule is described by a rigid ellipsoidal core with weak attractive tails along the long axis. The method adopted is a second-order mean-field approach – designed in such a way as to keep into account the fluctuations from equilibrium of the order parameters up to the fourth order – combined with a cumulant-cluster expansion, and improved by keeping track of the short-range correlations. Preliminary numerical calculations show the existence, in the case of zero attractive tail, of a second order phase transition.

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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