Influence of auto-organization and fluctuation effects on the kinetics of a monomer-monomer catalytic scheme

We study analytically kinetics of an elementary bimolecular reaction scheme of the Langmuir-Hinshelwood type taking place on a d-dimensional catalytic substrate. We propose a general approach which takes into account explicitly the influence of spatial correlations on the time evolution of particles mean densities and allows for the analytical analysis. In terms of this approach we recover some of known results concerning the time evolution of particles mean densities and establish several new ones.Comment: Latex, 25 pages, one figure, submitted to J. Chem. Phy

Luminescent Fractal Reactions: Exciton Annihilation on Percolation Clusters

We report here the first complete study of fractal reaction kinetics.1-3 This fractal reaction is a prototype of heterogeneous chemical kinetics and is of potential application to chemical catalysis and biological molecular energy transport. We note that for the binary reaction the classical (Euclidean space) kinetic equation is: However, on fractal spaces, the equation is where h=1-ds/2 and ds is the spectral dimension of the fractal space.</jats:p