Zero temperature Glauber dynamics on complex networks
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hdl:2117/20762
Document typeArticle
Defense date2006-05-03
PublisherIOP PUBLISHING LTD.
Rights accessRestricted access - publisher's policy
Abstract
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.
ISSN1742-5468
Publisher versionhttp://iopscience.iop.org/1742-5468/2006/05/P05001
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