Segregation in annihilation reactions without diffusion: Analysis of correlations

H. Schnörer; V. Kuzovkov; A. Blumen

doi:10.1103/PhysRevLett.63.805

Segregation in annihilation reactions without diffusion: Analysis of correlations

H. Schnörer^*
, V. Kuzovkov
, A. Blumen

^*Corresponding author for this work

University of Bayreuth

Research output: Contribution to journal › Article › peer-review

72 Citations (Scopus)

Abstract

We study binary one-dimensional exchange-mediated A+B+0 reactions in the absence of diffusion. Using the Kirkwood superposition approximation to decouple the infinite hierarchy of many-particle densities a closed set of integrodifferential equations is derived. A comparison to simulation calculations shows that the approximation reproduces the correct long-time asymptotic decay of reactant concentration as well as the correct spatial correlations of the segregation pattern.

Original language	English
Pages (from-to)	805-808
Number of pages	4
Journal	Physical Review Letters
Volume	63
Issue number	7
DOIs	https://doi.org/10.1103/PhysRevLett.63.805
Publication status	Published - 1989
Externally published	Yes

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10.1103/PhysRevLett.63.805

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title = "Segregation in annihilation reactions without diffusion: Analysis of correlations",

abstract = "We study binary one-dimensional exchange-mediated A+B+0 reactions in the absence of diffusion. Using the Kirkwood superposition approximation to decouple the infinite hierarchy of many-particle densities a closed set of integrodifferential equations is derived. A comparison to simulation calculations shows that the approximation reproduces the correct long-time asymptotic decay of reactant concentration as well as the correct spatial correlations of the segregation pattern.",

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doi = "10.1103/PhysRevLett.63.805",

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AU - Schnörer, H.

AU - Kuzovkov, V.

AU - Blumen, A.

PY - 1989

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N2 - We study binary one-dimensional exchange-mediated A+B+0 reactions in the absence of diffusion. Using the Kirkwood superposition approximation to decouple the infinite hierarchy of many-particle densities a closed set of integrodifferential equations is derived. A comparison to simulation calculations shows that the approximation reproduces the correct long-time asymptotic decay of reactant concentration as well as the correct spatial correlations of the segregation pattern.

AB - We study binary one-dimensional exchange-mediated A+B+0 reactions in the absence of diffusion. Using the Kirkwood superposition approximation to decouple the infinite hierarchy of many-particle densities a closed set of integrodifferential equations is derived. A comparison to simulation calculations shows that the approximation reproduces the correct long-time asymptotic decay of reactant concentration as well as the correct spatial correlations of the segregation pattern.

UR - https://www.scopus.com/pages/publications/0007121650

U2 - 10.1103/PhysRevLett.63.805

DO - 10.1103/PhysRevLett.63.805

M3 - Article

AN - SCOPUS:0007121650

SN - 0031-9007

VL - 63

SP - 805

EP - 808

JO - Physical Review Letters

JF - Physical Review Letters

IS - 7

ER -

Segregation in annihilation reactions without diffusion: Analysis of correlations

Abstract

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