Percolation thresholds and Fisher exponents in hypercubic lattices.
basic_science · Level V
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- Record sourced from PubMed, PMID 30253462.
- Also identified by DOI 10.1103/PhysRevE.98.022120.
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Abstract
We use invasion percolation to compute highly accurate numerical values for bond and site percolation thresholds p_{c} on the hypercubic lattice Z^{d} for d=4,...,13. We also compute the Fisher exponent τ governing the cluster size distribution at criticality. Our results support the claim that the mean-field value τ=5/2 holds for d≥6, with logarithmic corrections to power-law scaling at d=6.