Systems with two symmetric absorbing states: relating the microscopic dynamics with the macroscopic behavior

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dc.creatorVazquez, F.
dc.creatorLopez, C.
dc.date2008-10-08
dc.date.accessioned2026-07-07T12:25:47Z
dc.date.available2026-07-07T12:25:47Z
dc.descriptionWe propose a general approach to study spin models with two symmetric absorbing states. Starting from the microscopic dynamics on a square lattice, we derive a Langevin equation for the time evolution of the magnetization field, that successfully explains coarsening properties of a wide range of nonlinear voter models and systems with intermediate states. We find that the macroscopic behavior only depends on the first derivatives of the spin-flip probabilities. Moreover, an analysis of the mean-field term reveals the three types of transitions commonly observed in these systems -generalized voter, Ising and directed percolation-. Monte Carlo simulations of the spin dynamics qualitatively agree with theoretical predictions.
dc.description5 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/0810.1436
dc.identifierhttp://arxiv.org/abs/0810.1436
dc.identifierPhys. Rev. E 78, 061127 (2008)
dc.identifierdoi:10.1103/PhysRevE.78.061127
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/214676
dc.subjectStatistical Mechanics
dc.subjectDisordered Systems and Neural Networks
dc.titleSystems with two symmetric absorbing states: relating the microscopic dynamics with the macroscopic behavior
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