Two-dimensional percolation with multiple seeds

Autor:	Yang, Hongting, Haas, Stephan
Rok vydání:	2014
Předmět:	Condensed Matter - Disordered Systems and Neural Networks
Druh dokumentu:	Working Paper
Popis:	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. Comment: 10 pages, 1 table and 5 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1409.5507 Zobrazit plný text záznamu View this record from Arxiv