Fluctuation-dominated kinetics in the a+b→0 reaction between immobile particles

A. Blumen; S. Luding; I. M. Sokolov

doi:10.1007/BF01049585

Fluctuation-dominated kinetics in the a+b→0 reaction between immobile particles

A. Blumen, S. Luding, I. M. Sokolov^*

^*Corresponding author for this work

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Abstract

We consider the accumulation of immobile particles landing on a one-dimensional lattice and annihilating via the A + B → 0 bimolecular reaction. Here we focus on short-range interactions with cutoff. We investigate through computer simulations both the kinetics of the particles' accumulation and also their spatial distribution. The relation between the exponents describing the growth of the particles' concentration and the correlation length of their distribution shows that the kinetics of accumulation is fluctuation-dominated.

Original language	English
Pages (from-to)	849-857
Number of pages	9
Journal	Journal of statistical physics
Volume	65
Issue number	5-6
DOIs	https://doi.org/10.1007/BF01049585
Publication status	Published - 1 Dec 1991
Externally published	Yes

Keywords

A+B→0
black-sphere model
fluctuation-dominated kinetics
immobile particles
interactions with cutoff

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10.1007/BF01049585

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abstract = "We consider the accumulation of immobile particles landing on a one-dimensional lattice and annihilating via the A + B → 0 bimolecular reaction. Here we focus on short-range interactions with cutoff. We investigate through computer simulations both the kinetics of the particles' accumulation and also their spatial distribution. The relation between the exponents describing the growth of the particles' concentration and the correlation length of their distribution shows that the kinetics of accumulation is fluctuation-dominated.",

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AU - Luding, S.

AU - Sokolov, I. M.

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N2 - We consider the accumulation of immobile particles landing on a one-dimensional lattice and annihilating via the A + B → 0 bimolecular reaction. Here we focus on short-range interactions with cutoff. We investigate through computer simulations both the kinetics of the particles' accumulation and also their spatial distribution. The relation between the exponents describing the growth of the particles' concentration and the correlation length of their distribution shows that the kinetics of accumulation is fluctuation-dominated.

AB - We consider the accumulation of immobile particles landing on a one-dimensional lattice and annihilating via the A + B → 0 bimolecular reaction. Here we focus on short-range interactions with cutoff. We investigate through computer simulations both the kinetics of the particles' accumulation and also their spatial distribution. The relation between the exponents describing the growth of the particles' concentration and the correlation length of their distribution shows that the kinetics of accumulation is fluctuation-dominated.

KW - A+B→0

KW - black-sphere model

KW - fluctuation-dominated kinetics

KW - immobile particles

KW - interactions with cutoff

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ER -

Fluctuation-dominated kinetics in the a+b→0 reaction between immobile particles

Abstract

Keywords

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