Loopless percolation clusters

Frank Tzschichholz, Armin Bunde, Shlomo Havlin

Research output: Contribution to journalArticlepeer-review

11 Scopus citations


We suggest a novel percolation model where the generated clusters are loopless structures. In this model sites are occupied with probability p and blocked with probability 1-p, but those sites closing loops are considered as blocked sites with probability 1 (green sites). Using scaling analysis and numerical simulations in d=2 we find that the static exponents are the same as for conventional percolation. In contrast, the dynamical exponents such as the diffusion and resistance exponents are significantly different. This result supports the argument that in percolation the dynamical exponents are independent of the static exponents.

Original languageEnglish
Pages (from-to)5470-5473
Number of pages4
JournalPhysical Review A
Issue number10
StatePublished - 1989


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