Percolation cluster numbers and effective surface tension

H. Franke, J. Kertész

Research output: Contribution to journalArticlepeer-review

Abstract (may include machine translation)

We analyse Monte Carlo calculated cluster numbers ns for site percolation up to size s ≈ 200. For the square lattice at concentration p = 0.65 and the simple cubic lattice at p = 0.35 we find the asymptotic behaviour ns ∝ s -5 4 exp (-0.44s 1 2) and ns ∝ s 1 9 exp(-0.09s 2 3 +0.8s 1 3 - 13.1s -1 3), respectively. Applying the surface concept we compute an effective surface tension on the basis of these results. Because of the large negative s- 1 3 term, however, the concept does not work for small clusters in three dimensions.

Original languageEnglish
Pages (from-to)52-56
Number of pages5
JournalPhysics Letters A
Volume95
Issue number1
DOIs
StatePublished - 11 Apr 1983
Externally publishedYes

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