# Exact Results for Kinetics of Catalytic Reactions

Source: [Exact Results for Kinetics of Catalytic Reactions](<https://www.sota2.com/research/paper/68fa24382c2a3760193a0eb8>)

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

Data updated: 2025-10-24T08:57:08.314Z

Authors: L. Frachebourg, P. L. Krapivsky

Published: 1995-08-25T18:59:23.000Z

## Abstract

The kinetics of an irreversible catalytic reaction on substrate of arbitrary dimension is examined. In the limit of infinitesimal reaction rate (reaction-controlled limit), we solve the dimer-dimer surface reaction model (or voter model) exactly in arbitrary dimension $D$. The density of reactive interfaces is found to exhibit a power law decay for $D\<2$ and a slow logarithmic decay in two dimensions. We discuss the relevance of these results for the monomer-monomer surface reaction model.

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/cond-mat/9508123>)

[PDF](<https://arxiv.org/pdf/cond-mat/9508123.pdf>)