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Volumn 14, Issue 10, 2003, Pages 1427-1437

Rapid algorithm for identifying backbones in the two-dimensional percolation model

Author keywords

Backbone identification; Critical exponents; Percolation models; Rapid algorithm

Indexed keywords


EID: 2442429397     PISSN: 01291831     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0129183103005509     Document Type: Article
Times cited : (8)

References (38)
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    • note
    • Percolation, of course, can be defined for sites: each site is taken to be occupied with probability p or vacant with probability 1 - p, and a bond is open if and only if both its end sites are occupied. But in the language of graph theory bond percolation is more general because the graphs created by site percolation are induced subgraphs of the lattice.
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    • note
    • Since no analysis of the symmetry of the spanning cluster has been performed, the backbone defined here includes open bonds without electrical current due to symmetry.
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    • note
    • It is not true for d = 2 percolation with periodic lateral boundary conditions.
  • 36
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    • note
    • Configurations are produced by randomly producing the bond status array: 1 ≡ open and 0 ≡ closed. Open bonds appear with an independent probability p.


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