Quantum Physics Division
Faculty of PhysicsAdam Mickiewicz University
Publications

Dynamics-dependent criticality in models with q absorbing states

A. Lipowski1,2 , M. Droz1

1 Department of Physics, University of Geneva, CH 1211 Geneva 4, Switzerland
2 Department of Physics, A. Mickiewicz University, 61-614 Poznań, Poland

Phys. Rev. E, 66, 016106 – 1-5 (2002)
DOI: 10.1103/PhysRevE.66.016106

Abstract:

We study a one-dimensional, nonequilibrium Potts-like model that has q symmetric absorbing states. For q=2, as expected, the model belongs to the parity-conserving universality class. For q=3 the critical behavior depends on the dynamics of the model. Under a certain dynamics it remains generically in the active phase, which is also the feature of some other models with three absorbing states. However, a modified dynamics induces a parity-conserving phase transition. Relations with branching-annihilating random walk models are discussed in order to explain such a behavior.

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