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

^*Šī darba korespondējošais autors

University of Bayreuth

Zinātniskās darbības rezultāts: Devums žurnālam › Zinātniskais raksts (žurnālā) › koleģiāli recenzēts

72 Atsauces (Scopus)

Kopsavilkums

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.

Oriģinālvaloda	Angļu
Lapas (no-līdz)	805-808
Lapu skaits	4
Žurnāls	Physical Review Letters
Sējums	63
Izdevuma numurs	7
DOIs	https://doi.org/10.1103/PhysRevLett.63.805
Publikācijas statuss	Publicēts - 1989
Ārēji publicēts	Jā

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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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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

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VL - 63

SP - 805

EP - 808

JO - Physical Review Letters

JF - Physical Review Letters

IS - 7

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Segregation in annihilation reactions without diffusion: Analysis of correlations

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