Zero temperature Glauber dynamics on complex networks

Details Zero temperature Glauber dynamics on complex networks Zero temperature Glauber dynamics on complex networks

2006-02-13

arxiv.org/abs/cond-mat/0602315v1

J. Stat. Mech. P05001 (2006).

Physics

Condensed Matter

Statistical Mechanics

20 pages, 10 figures

Scientific paper

10.1088/1742-5468/2006/05/P05001

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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