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Charlas y Presentaciones

Effects of mixed dynamics in spin systems with conserved magnetization

By D. Vilone, J. J. Ramasco, M. San Miguel, A. Sánchez
Presented at the GISC workshop 2012, held at the Universidad Autónoma de Madrid, Madrid, on February 3, 2012. 2012

We consider a system of N agents, each one with only two possible states. They interact asynchronously by means of the voter model (VM) dynamics with probability q, and by means of a totally symmetric coordination game (CG) with probability 1-q. Both dynamics share some important features - they conserve the average magnetization and admit two absorbing configurations (when all the agents have the same spin) - but they show also remarkable differences (for instance, CG dynamics allows the existence of many disordered frozen configurations as well). Such mix of the VM and CG dynamics triggers not trivial effects; tuning the value of the parameter q, and depending on the topology, we see interesting crossovers and transitions in the dynamical behaviour and the final configurations of the system.