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Cluster size diversity, percolation, and complex systems.
MedLine Citation:
PMID:  11970070     Owner:  NLM     Status:  PubMed-not-MEDLINE    
Diversity of cluster size has been used as a measurement of complexity in several systems that generate a statistical distribution of clusters. Using Monte Carlo simulations, we present a statistical analysis of the cluster size diversity and the number of clusters generated on randomly occupied lattices for the Euclidean dimensions 1 to 6. A tuning effect for diversity of cluster size and critical probabilities associated with the maximum diversity and the maximum number of clusters are reported. The probability of maximum diversity is related to the percolation threshold and several scaling relations between the variables measured are reported. The statistics of cluster size diversity has important consequences in the statistical description of the Universe as a complex system.
I R Tsang; I J Tsang
Publication Detail:
Type:  Journal Article    
Journal Detail:
Title:  Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics     Volume:  60     ISSN:  1063-651X     ISO Abbreviation:  Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics     Publication Date:  1999 Sep 
Date Detail:
Created Date:  2002-04-23     Completed Date:  2002-08-12     Revised Date:  2003-11-03    
Medline Journal Info:
Nlm Unique ID:  9887340     Medline TA:  Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics     Country:  United States    
Other Details:
Languages:  eng     Pagination:  2684-98     Citation Subset:  -    
VisionLab-Department of Physics, University of Antwerp-RUCA, Groenenborgerlaan 171, Antwerp B-2020, Belgium.
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