%0 Journal Article %1 Castellano2006Zero %A Castellano, Claudio %A Pastor-Satorras, Romualdo %D 2006 %I Institute of Physics Publishing %J Journal of Statistical Mechanics: Theory and Experiment %K ising-glauber-model, mean-field, networks %N 05 %P P05001+ %R 10.1088/1742-5468/2006/05/p05001 %T Zero temperature Glauber dynamics on complex networks %U http://dx.doi.org/10.1088/1742-5468/2006/05/p05001 %V 2006 %X 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.

@article{Castellano2006Zero, 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.}}, added-at = {2019-06-10T14:53:09.000+0200}, archiveprefix = {arXiv}, author = {Castellano, Claudio and Pastor-Satorras, Romualdo}, biburl = {https://www.bibsonomy.org/bibtex/288033680e9f2696093260c76b3bb5244/nonancourt}, citeulike-article-id = {612210}, citeulike-linkout-0 = {http://arxiv.org/abs/cond-mat/0602315}, citeulike-linkout-1 = {http://arxiv.org/pdf/cond-mat/0602315}, citeulike-linkout-2 = {http://dx.doi.org/10.1088/1742-5468/2006/05/p05001}, citeulike-linkout-3 = {http://iopscience.iop.org/1742-5468/2006/05/P05001}, citeulike-linkout-4 = {http://adsabs.harvard.edu/cgi-bin/nph-bib\_query?bibcode=2006JSMTE..05..001C}, day = 03, doi = {10.1088/1742-5468/2006/05/p05001}, eprint = {cond-mat/0602315}, interhash = {6cf2f4bf901cd3281413dc8e740b51c5}, intrahash = {88033680e9f2696093260c76b3bb5244}, issn = {1742-5468}, journal = {Journal of Statistical Mechanics: Theory and Experiment}, keywords = {ising-glauber-model, mean-field, networks}, month = may, number = 05, pages = {P05001+}, posted-at = {2012-09-06 22:53:40}, priority = {2}, publisher = {Institute of Physics Publishing}, timestamp = {2019-06-10T14:53:09.000+0200}, title = {{Zero temperature Glauber dynamics on complex networks}}, url = {http://dx.doi.org/10.1088/1742-5468/2006/05/p05001}, volume = 2006, year = 2006 }