# Nonclassical Kinetics in Constrained Geometries: Initial Distribution Effects

Source: [Nonclassical Kinetics in Constrained Geometries: Initial Distribution Effects](<https://www.sota2.com/research/paper/68fa31e61e209131ce8836b7>)

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

Data updated: 2025-10-24T19:10:38.962Z

Authors: K. Lindenberg, A. H. Romero, J. M. Sancho

Published: 1998-06-09T18:53:17.000Z

## Abstract

We present a detailed study of the effects of the initial distribution on the kinetic evolution of the irreversible reaction A+B -\> 0 in one dimension. Our analytic as well as numerical work is based on a reaction-diffusion model of this reaction. We focus on the role of initial density fluctuations in the creation of the macroscopic patterns that lead to the well-known kinetic anomalies in this system. In particular, we discuss the role of the long wavelength components of the initial fluctuations in determining the long-time behavior of the system. We note that the frequently studied random initial distribution is but one of a variety of possible distributions leading to interesting anomalous behavior. Our discussion includes an initial distribution with correlated A-B pairs and one in which the initial distribution forms a fractal pattern. The former is an example of a distribution whose long wavelength components are suppressed, while the latter exemplifies one whose long wavelength components are enhanced, relative to those of the random distribution.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/physics/9806012>)

[PDF](<https://arxiv.org/pdf/physics/9806012.pdf>)