Percolation threshold and critical exponent analysis in equilibrium systems on simple cubic and BCC lattices

M.C. Gimenez, L. Reinaudi and P.M. Centres

Physica A: Statistical Mechanics and its Applications, 2025, vol. 668, issue C

Abstract: Simulations using the Monte Carlo method were performed with Kawasaki dynamics at a temperature of 300 K, evaluating the percolation threshold (the fraction of occupied sites necessary for the system to percolate). Three different percolation criteria were considered: RU (percolation in at least one of the x, y, or z directions), RI (simultaneous percolation in all three directions), and RA (average of the percolation probabilities in each direction). The results show how the percolation threshold varies with the interaction between particles (represented by the parameter J). It was observed that repulsive interactions (J>0) increase the percolation threshold, while attractive interactions (J<0) reduce it. For large values of J, the percolation threshold curves stabilize at certain limits.

Keywords: Percolation thresholds; Critical exponents; Equilibrium systems; Phase transitions (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:668:y:2025:i:c:s0378437125002146

DOI: 10.1016/j.physa.2025.130562

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