Reaction front for A+BC diffusion-reaction systems with initially separated reactants

Hernan Larralde; Mariela Araujo; Shlomo Havlin; H. Eugene Stanley

doi:10.1103/PhysRevA.46.855

Reaction front for A+BC diffusion-reaction systems with initially separated reactants

Hernan Larralde, Mariela Araujo, Shlomo Havlin, H. Eugene Stanley

Department of Physics

Boston University

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

97 Scopus citations

Abstract

We study both analytically and numerically the A+BC reaction-diffusion system for the case of initially separated reactants. We find the functional forms of the reaction front and also of the concentration profiles of the reactants. The profile of the production rate R(x,t) at site x and time t scales as t-2/3(x/t1/6)3/4exp[-2/3 (x/t1/6)3/2] for the spatial range t1/6xt1/2. Our results are supported by numerical solutions of the reaction-diffusion equation, and are in agreement with Monte Carlo simulations in dimension d=2.

Original language	English
Pages (from-to)	855-859
Number of pages	5
Journal	Physical Review A
Volume	46
Issue number	2
DOIs	https://doi.org/10.1103/PhysRevA.46.855
State	Published - 1992

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abstract = "We study both analytically and numerically the A+BC reaction-diffusion system for the case of initially separated reactants. We find the functional forms of the reaction front and also of the concentration profiles of the reactants. The profile of the production rate R(x,t) at site x and time t scales as t-2/3(x/t1/6)3/4exp[-2/3 (x/t1/6)3/2] for the spatial range t1/6xt1/2. Our results are supported by numerical solutions of the reaction-diffusion equation, and are in agreement with Monte Carlo simulations in dimension d=2.",

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AU - Araujo, Mariela

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AU - Stanley, H. Eugene

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Reaction front for A+BC diffusion-reaction systems with initially separated reactants

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