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Moment ratios for absorbing-state phase transitions

Ronald Dickman·Jafferson Kamphorst Leal da Silva
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Abstract

We determine the first through fourth moments of the order parameter, and various ratios, for several one- and two-dimensional models with absorbing-state phase transitions. We perform a detailed analysis of the system-size dependence of these ratios, and confirm that they are indeed universal for three models - the contact process, the A model, and the pair contact process - belonging to the directed percolation universality class. Our studies also yield a refined estimate for the critical point of the pair contact process.

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Ronald Dickman, Jafferson Kamphorst Leal da Silva. 1998-05-22. Moment ratios for absorbing-state phase transitions. https://doi.org/10.1103/physreve.58.4266

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