Quantum Physics Division
Faculty of PhysicsAdam Mickiewicz University
Publications

Splitting the voter Potts model critical point

M. Droz1 , A. L. Ferreira2 , A. Lipowski3

1 Department of Physics, University of Geneva, CH 1211 Geneva 4, Switzerland
2 Departamento de Fisica, Universidade de Aveiro, 3810-193 Aveiro, Portugal
3 Department of Physics, A. Mickiewicz University, 61-614 Pozna´n, Poland

Phys. Rev. E, 67, 056108-1 – 056108-4 (2003)
DOI: 10.1103/PhysRevE.67.056108

Abstract:

Recently some two-dimensional models with double symmetric absorbing states were shown to share the same critical behavior that was called the voter universality class. We show that, for an absorbing-states Potts model with finite but further than nearest-neighbor range of interactions, the critical point is split 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-neighbor model.

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