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Phase transition in an optimal clusterization model

Domenii publicaţii > Fizica + Tipuri publicaţii > Articol în revistã ştiinţificã

Autori: Z. Neda, R. V. Florian, M. Ravasz, A. Libal, and G. Gyorgyi

Editorial: Physica A, 362 (2), p.357-368, 2006.


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

Cuvinte cheie: Coalitii, renormalizare // Coalition formation; Potts glass; Renormalization; Monte Carlo simulations