English

Moment ratios for absorbing-state phase transitions

Statistical Mechanics 2009-10-31 v1

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.

Keywords

Cite

@article{arxiv.cond-mat/9805294,
  title  = {Moment ratios for absorbing-state phase transitions},
  author = {Ronald Dickman and Jafferson Kamphorst Leal da Silva},
  journal= {arXiv preprint arXiv:cond-mat/9805294},
  year   = {2009}
}

Comments

10 pages RevTeX, 4 ps figures