Ay. Tretyakov et A. Provata, STEADY-STATE BEHAVIOR OF TRIMOLECULAR REACTION A-REVERSIBLE-ARROW-3X ON A SQUARE LATTICE(2X), Journal of the Physical Society of Japan, 67(2), 1998, pp. 430-433
We study the steady-state behavior of the trimolecular reaction A + 2X
reversible arrow 3X on a 2-d square lattice. By viewing the system as
a kind of a percolation problem and finding a rigorous value for the
percolation threshold, we show that a single asymptotic state is recov
ered starting from any non-zero concentration of X-particles, unlike o
n a number of lattices with lower dimensionality and/or coordination n
umber.