%0 Journal Article %1 Pereira2005Majorityvote %A Pereira, Luiz F. C. %A Moreira, F. G. Brady %D 2005 %I American Physical Society %J Physical Review E %K majority-vote critical-phenomena er-networks %N 1 %P 016123+ %R 10.1103/physreve.71.016123 %T Majority-vote model on random graphs %U http://dx.doi.org/10.1103/physreve.71.016123 %V 71 %X The majority-vote model with noise on Erdös-Rényi's random graphs has been studied. Monte Carlo simulations were performed to characterize the order-disorder phase transition appearing in the system. We found that the value of the critical noise parameter qc is an increasing function of the mean connectivity z of the random graph. The critical exponents β∕ν, γ∕ν, and 1∕ν were calculated for several values of z, and our analysis yielded critical exponents satisfying the hyperscaling relation with effective dimensionality equal to unity.

@article{Pereira2005Majorityvote, abstract = {{The majority-vote model with noise on Erd\"{o}s-R\'{e}nyi's random graphs has been studied. Monte Carlo simulations were performed to characterize the order-disorder phase transition appearing in the system. We found that the value of the critical noise parameter qc is an increasing function of the mean connectivity z of the random graph. The critical exponents β∕ν, γ∕ν, and 1∕ν were calculated for several values of z, and our analysis yielded critical exponents satisfying the hyperscaling relation with effective dimensionality equal to unity.}}, added-at = {2019-06-10T14:53:09.000+0200}, author = {Pereira, Luiz F. C. and Moreira, F. G. Brady}, biburl = {https://www.bibsonomy.org/bibtex/239a1e7c50a1771e16ed4ad491267a876/nonancourt}, citeulike-article-id = {1285210}, citeulike-linkout-0 = {http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal\&id=PLEEE8000071000001016123000001\&idtype=cvips\&gifs=yes}, citeulike-linkout-1 = {http://link.aps.org/abstract/PRE/v71/e016123}, citeulike-linkout-2 = {http://dx.doi.org/10.1103/physreve.71.016123}, citeulike-linkout-3 = {http://link.aps.org/abstract/PRE/v71/i1/e016123}, citeulike-linkout-4 = {http://link.aps.org/pdf/PRE/v71/i1/e016123}, doi = {10.1103/physreve.71.016123}, interhash = {8588253b7fb80d7aecc44e23527bbfe0}, intrahash = {39a1e7c50a1771e16ed4ad491267a876}, journal = {Physical Review E}, keywords = {majority-vote critical-phenomena er-networks}, month = jan, number = 1, pages = {016123+}, posted-at = {2011-06-20 16:46:45}, priority = {2}, publisher = {American Physical Society}, timestamp = {2019-08-01T16:10:11.000+0200}, title = {{Majority-vote model on random graphs}}, url = {http://dx.doi.org/10.1103/physreve.71.016123}, volume = 71, year = 2005 }