Journal of Statistical Physics. Vol. 67, No. 1/2, 1992. p. 303-311.
We examine a one-dimensional class of interacting particle systems which generalize some voter models. This class includes a particular case in the class of models of catalytic surfaces introduced by Swindle and Grannan. We show that this class has the "clustering" property of ordinary finite-range voter models, at least when one is concerned with translation-invariant measures on the state space.