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

Author

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

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).

Suggested Citation

  • Araujo, Mariela & Larralde, Hernan & Havlin, Shlomo & Stanely, H.E., 1992. "Reaction front dynamics of A + B → C with initially separated reactants," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 191(1), pages 168-171.
  • Handle: RePEc:eee:phsmap:v:191:y:1992:i:1:p:168-171
    DOI: 10.1016/0378-4371(92)90521-Q
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