Zero temperature Glauber dynamics on complex networks
PublisherIOP PUBLISHING LTD.
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We study the Glauber dynamics at zero temperature of spins placed on the vertices of an uncorrelated network with a power law degree distribution. Application of mean-field theory yields as the main prediction that for symmetric disordered initial conditions the mean time for reaching full order is finite or diverges as a logarithm of the system size N, depending on the exponent of the degree distribution. Extensive numerical simulations contradict these results and clearly show that the mean-field assumption is not appropriate for describing this problem.
CitationCastellano, C.; Pastor-Satorras, R. Zero temperature Glauber dynamics on complex networks. "Journal of statistical mechanics: Theory and experiment", 03 Maig 2006, p. 1-20.