Splitting the voter criticality

TL;DR

This paper demonstrates that in certain two- and three-dimensional models with absorbing states, the critical behavior splits into separate universality classes, revealing more complex phase transition phenomena than previously understood.

Contribution

The study shows that extending the interaction range in Potts models causes the critical point to split into two distinct universality classes, unlike the single class observed with nearest-neighbor interactions.

Findings

Critical point splits into Ising and directed percolation classes in extended-range models.

Splitting occurs in both two- and three-dimensional models.

Critical behavior differs from the standard voter universality class.

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.