| Percolation clusters above criticality form Kardar-Parisi-Zhang surfaces. | |
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MedLine Citation:
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PMID: 18851541 Owner: NLM Status: PubMed-not-MEDLINE |
Abstract/OtherAbstract:
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This study is concerned with the characteristics of regular (isotropic) percolation clusters above the critical threshold p{c}. Analytic arguments for the general dimension case, and numerical results for the two-dimensional case, lead to the conclusion that the characteristics of the shortest paths (defined as the chemical distance l) between given two sites on a percolation cluster are similar to the characteristics of optimal paths in the directed polymer model. A corollary which should be valid for the general dimension case, and verified by numerical results for the two-dimensional case, is that a cluster whose sites are at chemical distance l from a given site forms a Kardar-Parisi-Zhang surface. |
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Authors:
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Ehud Perlsman; Shlomo Havlin |
Publication Detail:
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Type: Journal Article Date: 2008-09-30 |
Journal Detail:
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Title: Physical review letters Volume: 101 ISSN: 0031-9007 ISO Abbreviation: Phys. Rev. Lett. Publication Date: 2008 Oct |
Date Detail:
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Created Date: 2008-10-14 Completed Date: 2008-11-04 Revised Date: - |
Medline Journal Info:
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Nlm Unique ID: 0401141 Medline TA: Phys Rev Lett Country: United States |
Other Details:
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Languages: eng Pagination: 145701 Citation Subset: - |
Affiliation:
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Department of Physics, Bar-Ilan University, Ramat-Gan 52900, Israel. |
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From MEDLINE®/PubMed®, a database of the U.S. National Library of Medicine
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