Title
Cluster size diversity, percolation, and complex systems
Author
Publication type
article
Publication
Lancaster, Pa ,
Subject
Physics
Source (journal)
Physical review : E : statistical physics, plasmas, fluids, and related interdisciplinary topics. - Lancaster, Pa, 1993 - 2000
Volume/pages
60(1999) :3 , p. 2684-2698
ISSN
1063-651X
ISI
000082778200039
Carrier
E
Target language
English (eng)
Full text (Publishers DOI)
Abstract
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. [S1063-651X(99)08709-7].
Full text (open access)
https://repository.uantwerpen.be/docman/irua/d99902/8133.pdf
E-info
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