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

Source: [Influence of auto-organization and fluctuation effects on the kinetics of a monomer-monomer catalytic scheme](<https://www.sota2.com/research/paper/68fa24ff2c2a3760193ab7b5>)

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

Data updated: 2025-10-24T10:04:07.587Z

Authors: P.Argyrakis, S.F.Burlatsky, E.Clement, G.Oshanin (4) \_\_INSTITUTION\_4\_\_ Department of Physics, University of Thessaloniki, Greece; (2) LSR Technologies, Inc., Acton, MA USA; (3) LAOMC, University of Paris VI, France, (4) LPTL, University of Paris VI, France)

Published: 2000-03-24T10:24:14.000Z

## Abstract

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.

## 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/0003393>)

[PDF](<https://arxiv.org/pdf/cond-mat/0003393.pdf>)