scholarly journals Equilibrium properties of the lattice system with SALR interaction potential on a square lattice: quasi-chemical approximation versus Monte Carlo simulation

2018 ◽  
Vol 21 (4) ◽  
pp. 43002
Author(s):  
Groda ◽  
Vikhrenko ◽  
di Caprio
Keyword(s):  
Monte Carlo Simulation ◽  
Monte Carlo ◽  
Interaction Potential ◽  
Lattice System ◽  
Square Lattice

Universal Ratio χ in Two-Dimensional Square Random-Site Percolation

1998 ◽  
Vol 09 (01) ◽  
pp. 147-155 ◽  
Author(s):  
Krzysztof Malarz ◽  
Ana Maria Vidales
Keyword(s):  
Monte Carlo Simulation ◽  
Monte Carlo ◽  
Small Distance ◽  
Square Lattice ◽  
Two Dimensional ◽  
Site Percolation ◽  
Random Site ◽  
Percolation Phenomena ◽  
Simulation Results ◽  
Universal Ratio

The percolation phenomena on two-dimensional square lattice is considered. The quotient χ of connectivity length ξ> above percolation threshold pc and ξ< below pc at the same small distance Δp is discussed. The results of two different algorithms and programs and agreement with theoretical/mathematical predications is presented, in contrast to previous contradictory Monte Carlo simulation results.

Monte-Carlo simulation on the dipole alignment in ferroelectric square lattice

2004 ◽  
Vol 113 (1) ◽  
pp. 67-72 ◽  
Author(s):  
J.M. Liu ◽  
X. Wang ◽  
H.L.W. Chan ◽  
C.L. Choy
Keyword(s):  
Monte Carlo Simulation ◽  
Monte Carlo ◽  
Square Lattice ◽  
Dipole Alignment
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