English

Splitting the voter criticality

Statistical Mechanics 2009-11-10 v1

Abstract

Recently some two-dimensional models with double symmetric absorbing states were shown to share the same critical behaviour that was called the voter universality class. We show, that for an absorbing-states Potts model with finite but further than nearest neighbour range of interactions the critical point is splitted into two critical points: one of the Ising type, and the other of the directed percolation universality class. Similar splitting takes place in the three-dimensional nearest-neighbour model.

Keywords

Cite

@article{arxiv.cond-mat/0301291,
  title  = {Splitting the voter criticality},
  author = {Michel Droz and Antonio L. Ferreira and Adam Lipowski},
  journal= {arXiv preprint arXiv:cond-mat/0301291},
  year   = {2009}
}

Comments

4 pages, eps figures included

R2 v1 2026-07-22T10:45:46.377Z