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Zero temperature Glauber dynamics on complex networks

Claudio Castellano·Romualdo Pastor-Satorras
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Abstract

We study the Glauber dynamics at zero temperature of spins placed on the vertices of an uncorrelated network with a power-law degreedistribution. Application of mean-field theory yields as main prediction that for symmetric disordered initial conditions the mean time to reach 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 to describe this problem.

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BibTeXRIS

Claudio Castellano, Romualdo Pastor-Satorras. 2006-02-13. Zero temperature Glauber dynamics on complex networks. https://doi.org/10.1088/1742-5468%2F2006%2F05%2Fp05001

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