Large-cell Monte Carlo renormalization group for a new type of environmental percolation
Physical Review B
As a simple model for some diluted magnetic systems which present high percolation thresholds, we study a new type of environmental percolation model. In this model two neighboring magnetic sites are considered to be in the same cluster only if their nearest-neighbor sites in the same direction of the line joining them are also magnetic. By using a large-cell Monte Carlo renormalization-group method the percolation threshold in a square lattice is found to be pc=0.741±0.002 and the exponent for the correlation length 1ν=0.75±0.02, indicating that the model may be in the same universality class as the site percolation problem.
Quantum theory; Renormalization (Physics)
Citation: Pilot Scholars Version (Modified MLA Style)
Bonfim, O. F. de Alcantara and Engelsberg, M., "Large-cell Monte Carlo renormalization group for a new type of environmental percolation" (1986). Physics Faculty Publications and Presentations. Paper 22.
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