Phase transitions in social networks inspired by the Schelling model

V. Avetisov, A. Gorsky, S. Maslov, S. Nechaev, and O. Valba N.N. Semenov Institute of Chemical Physics of the Russian Academy of Sciences, 119991, Moscow, Russia, Department of Applied Mathematics, National Research University Higher School of Economics, 101000, Moscow, Russia, Institute of Information Transmission Problems of the Russian Academy of Sciences, Moscow, Russia, Moscow Institute of Physics and Technology, Dolgoprudny 141700, Russia 5 Department of Bioengineering and Carl R. Woese Institute for Genomic Biology, University Urbana-Champaign, Urbana, Illinois, 61801 USA Interdisciplinary Scientific Center Poncelet (CNRS UMI 2615), Moscow, Russia P.N. Lebedev Physical Institute of the Russian Academy of Sciences, 119991, Moscow, Russia