Dynamics-dependent criticality in models with q absorbing states

Details Dynamics-dependent criticality in models with q absorbing states Dynamics-dependent criticality in models with q absorbing states

2001-10-19

arxiv.org/abs/cond-mat/0110404v2

Physical Review E 66, 016106 (2002)

Physics

Condensed Matter

Statistical Mechanics

5 pages, 5 eps figures included, Phys.Rev.E (accepted)

Scientific paper

10.1103/PhysRevE.66.016106

We study a one-dimensional, nonequilibrium Potts-like model which has $q$ symmetric absorbing states. For $q=2$, as expected, the model belongs to the parity conserving universality class. For $q=3$ the critical behaviour 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 behaviour.

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