# Kinetic description of diffusion-limited reactions in random catalytic media

Source: [Kinetic description of diffusion-limited reactions in random catalytic media](<https://www.sota2.com/research/paper/68fa24682c2a3760193a3b15>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-24T09:09:53.973Z

Authors: G.Oshanin, A.Blumen (2) \_\_INSTITUTION\_2\_\_ University of Paris VI, France; (2) University of Freiburg, Germany)

Published: 1997-10-10T13:12:59.000Z

## Abstract

We study the kinetics of bimolecular, catalytically-activated reactions (CARs) in d-dimensions. The elementary reaction act between reactants takes place only when these meet in the vicinity of a catalytic site; such sites are assumed to be immobile and randomly distributed in space. For CARs we develop a kinetic formalism, based on Collins-Kimball-type ideas; within this formalism we obtain explicit expressions for the effective reaction rates and for the decay of the reactants' concentrations.

## Recorded benchmark results

A research result applies to its stated dataset, split, metric and evaluation configuration. Compare like-for-like settings, preserve the metric's unit and direction, and distinguish paper-reported results from independent reproduction. The best result recorded here is not a claim of exhaustive, current global coverage.

## Original sources and implementation

[Original paper](<https://arxiv.org/abs/cond-mat/9710099>)

[PDF](<https://arxiv.org/pdf/cond-mat/9710099.pdf>)