Journal
INTERNATIONAL JOURNAL OF MODERN PHYSICS C
Volume 30, Issue 8, Pages -Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0129183119500554
Keywords
Complex neighborhoods; phase transition in finite-size systems; applications of Monte Carlo methods in mathematical physics; parallel computations; message passing interface
Funding
- PL-Grid infrastructure
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In this paper, the efficient space virtualisation for the Hoshen-Kopelman algorithm is presented. We observe minimal parallel overhead during computations, due to negligible communication costs. The proposed algorithm is applied for computation of random-site percolation thresholds for four dimensional simple cubic lattice with sites' neighborhoods containing next-next-nearest neighbors (3NN). The obtained percolation thresholds are p(C)(NN) = 0.19680(23), p(C)(2NN) =0.08410(23), p(C)(3NN)=0.04540(23), p(C)(2NN+NN)=0.06180(23), p(C)(3NN+NN) = 0.04000(23), p(C)(3NN + 2NN) = 0.03310(23), p(C)(3NN + 2NN + NN) = 0.03190(23), where 2NN and NN stand for next-nearest neighbors and nearest neighbors, respectively.
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