Ergodicity of reversible reaction diffusion processes (Q1118915)

Reaction-diffusion processes were introduced by \textit{G. Nicolis} and \textit{I. Prigogine} [Self-organization in nonequilibrium systems. (1977; Zbl 0363.93005)], and \textit{H. Haken} [Synergetics. An introduction. (1977; Zbl 0355.93003)]. Existence theorems have been established for most models, but not much is known about ergodic properties. In this paper we study a class of models which have a reversible measure. We show that the stationary distribution is unique and is the limit starting from any initial distribution.