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Phase transition in an optimal clusterization model

✍ Scribed by Zoltán Néda; Răzvan Florian; Mária Ravasz; András Libál; Géza Györgyi

Publisher
Elsevier Science
Year
2006
Tongue
English
Weight
299 KB
Volume
362
Category
Article
ISSN
0378-4371

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✦ Synopsis

An optimal clusterization model resembling the infinite-range Potts glass-type model with AEJ bonds and unrestricted number of states, p ¼ N is introduced and studied. As a function of the q probability of þJ bonds, it is found that the r relative size of the largest cluster, or, coalition, shows a percolation-like transition at q ¼ 1 2 . By a simple renormalization approach and several optimization methods we investigate the rðqÞ curves for finite system sizes. Non-trivial consequences for social percolation problems are discussed.

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