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Título

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

AutorVázquez, Federico ; López, Cristóbal
Palabras claveCritical points
Ising model
Magnetisation
Monte Carlo methods
Percolation
Spin dynamics
[PACS] Fluctuation phenomena, random processes, noise, and Brownian motion
[PACS] Phase transitions: general studies
[PACS] Dynamic critical phenomena
[PACS] Ecology and evolution
Fecha de publicación23-dic-2008
EditorAmerican Physical Society
CitaciónPhysical Review E 78(6): 061127 (2008)
ResumenWe 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.
Descripción5 pages, 2 figures.-- PACS nrs.: 05.40.-a; 05.70.Fh; 64.60.Ht; 87.23.-n.-- ArXiv pre-print available at: http://arxiv.org/abs/0810.1436
Versión del editorhttp://dx.doi.org/10.1103/PhysRevE.78.061127
URIhttp://hdl.handle.net/10261/12860
DOI10.1103/PhysRevE.78.061127
ISSN1063-651X (Print)
1095-3787 (Online)
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