Reaction front dynamics of A + B → C with initially separated reactants

Mariela Araujo, Hernan Larralde, Shlomo Havlin and H.E. Stanely

Physica A: Statistical Mechanics and its Applications, 1992, vol. 191, issue 1, 168-171

Abstract: We study the reaction front for the diffusion-reaction system A + B → C with initially separated reactants. We present analytical results for the form of the front and the exponents that characterize its width and height asymptotically, which appear to hold in d ⩾ 2. We also present analytical and numerical results for the form of the reaction front for the 1D case in which one of the reactants is static, and find the width exponent α = 14, which is larger than the mean field exponent (α = 16) but smaller than the value for the case in which both species diffuse (α ⋍ 0.3).

Date: 1992
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:191:y:1992:i:1:p:168-171

DOI: 10.1016/0378-4371(92)90521-Q

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