Relations between site percolation thresholds |
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| Authors: | D Shalitin |
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| Institution: | (1) Center for Polymer Studies and Physics Department, Boston University, Boston;(2) Present address: The Racah Institute of Physics, The Hebrew University of Jerusalem, Jerusalem, Israel |
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| Abstract: | By decomposing certain lattices into two sublattices, and examining at percolation threshold the structure of their infinite clusters, an approximate relation between p
c
0
, of the original lattice and p
c
1
, of the sublattice is established: p
c
0
 (p
c
1
)1/2. It is conjectured that an inequality always holds: p
c
0
 (p
c
1
)1/2, and heuristic arguments are given to substantiate it. By similar considerations good estimates forp
c
of certain correlated percolation problems are also obtained. |
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| Keywords: | Percolation critical concentration decomposable lattice sublattice linking cluster |
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