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Percolation clusters above criticality form Kardar-Parisi-Zhang surfaces.
MedLine Citation:
PMID:  18851541     Owner:  NLM     Status:  PubMed-not-MEDLINE    
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.
Ehud Perlsman; Shlomo Havlin
Publication Detail:
Type:  Journal Article     Date:  2008-09-30
Journal Detail:
Title:  Physical review letters     Volume:  101     ISSN:  0031-9007     ISO Abbreviation:  Phys. Rev. Lett.     Publication Date:  2008 Oct 
Date Detail:
Created Date:  2008-10-14     Completed Date:  2008-11-04     Revised Date:  -    
Medline Journal Info:
Nlm Unique ID:  0401141     Medline TA:  Phys Rev Lett     Country:  United States    
Other Details:
Languages:  eng     Pagination:  145701     Citation Subset:  -    
Department of Physics, Bar-Ilan University, Ramat-Gan 52900, Israel.
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