Reaction diffusion with initially separated reactants: Functional integral approach

Victor Malyutin; Savely Rabinovich; Shlomo Havlin

doi:10.1103/physreve.56.708

Reaction diffusion with initially separated reactants: Functional integral approach

Victor Malyutin, Savely Rabinovich, Shlomo Havlin

Department of Physics

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

11 Scopus citations

Abstract

A method based on the Feynman-Kac formula is suggested to analyze the solutions of the A + B → C reaction-diffusion system with initially separated reactants. It enables us to reproduce and improve earlier results which were based on empirical approximations. We also roughly estimate an upper time limit for this approach to be valid. It is possible that this limit is the applicability limit for the mean-field approach.

Original language	English
Pages (from-to)	708-711
Number of pages	4
Journal	Physical Review E
Volume	56
Issue number	1 SUPPL. B
DOIs	https://doi.org/10.1103/physreve.56.708
State	Published - Jul 1997

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abstract = "A method based on the Feynman-Kac formula is suggested to analyze the solutions of the A + B → C reaction-diffusion system with initially separated reactants. It enables us to reproduce and improve earlier results which were based on empirical approximations. We also roughly estimate an upper time limit for this approach to be valid. It is possible that this limit is the applicability limit for the mean-field approach.",

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Reaction diffusion with initially separated reactants: Functional integral approach

Abstract

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