Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2002-09-11
JETP Letters, 76 (2002), 61--65
Physics
Condensed Matter
Statistical Mechanics
LaTeX, 8 pages
Scientific paper
10.1134/1.1507229
The kinetics of the diffusion-controlled chemical reactions A+A+...+A->0 that occur at catalytic centers periodically arranged along a straight line is considered. Modes of the behavior of reaction probability W(t) were studied at different times and different densities of the catalyst. Within the Smoluchowski approximation, it was rigorously proved that at large times the function W(t) is independent of the lattice period. This means that, in the given asymptotic mode, the probability of the reaction on a lattice with a catalyst placed in each lattice site is the same as on a lattice with a catalyst placed in sparse sites.
Naidenov A. A.
Nechaev S. K.
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