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Two-dimensional percolation with multiple seeds

Authors :
Yang, Hongting
Haas, Stephan
Publication Year :
2014

Abstract

We study non-uniform percolation in a two-dimensional cluster growth model with multiple seeds. With increasing concentration of seeds, the percolation threshold is found to increase monotonically, while the exponents for correlation length, order parameter, and average cluster size, keep invariant. The scaling law for an infinite square lattice keeps working for any nonzero concentration of seeds. Abnormal finite-size scaling behaviours happen at low concentration of seeds.<br />Comment: 10 pages, 1 table and 5 figures

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.1409.5507
Document Type :
Working Paper