Physical Review · 1961 · 116 citations · 6 references
Natural SciencesPhysicsCondensed Matter PhysicsMagnetic MaterialsProbability TheoryCrystal LatticeFerromagnetic MaterialsFerromagnetismMagnetic Properties Of SolidsMonte Carlo MethodsMonte Carlo SimulationCritical ConcentrationFerromagnetic OrderingMonte Carlo Simulation Of MagnetismPercolationPercolation In Random MediaPercolation On LatticesPercolation TransitionSite Percolation
Monte Carlo estimates of the critical percolation probabilities for the "site problem" are presented for a number of two- and three-dimensional crystal lattices. The connection with the critical concentration of magnetic elements of certain models of random (magnetically dilute) ferromagnetic crystals is noted.
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Critical Percolation Probabilities (Bond Problem)
V. A. Vyssotsky, Siamon GORDON, H. L. Frisch et al. · Physical Review · 1961 · 232 citations
Natural Sciences, Materials Science, Condensed Matter Physics +16
Cluster Size in Random Mixtures and Percolation Processes
C. Domb, M F Sykes · Physical Review · 1961 · 95 citations