P. Argyrakis et al., Influence of auto-organization and fluctuations on the kinetics of a monomer-monomer catalytic scheme - art. no. 021110, PHYS REV E, 6302(2), 2001, pp. 1110
We study analytically the kinetics of an elementary bimolecular reaction sc
heme of the Langmuir-Hinshelwood type taking place on a d-dimensional catal
ytic substrate. We propose a general approach that takes into account expli
citly the influence of spatial correlations on the time evolution of the me
an particle density. With this approach, we recover some known results conc
erning the time evolution of the mean particle density and establish others
.