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Diffusion-controlled reactions in nonstoichiometrical layered systems

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  • Sokolov, I.M.
  • Blumen, A.

Abstract

We study the diffusion-controlled reaction A+B→0 under nonstoichiometrical conditions in a layered system, a structure often formed by mixing. We show analytically that the long-time behavior of the concentration of the minority species is a stretched exponential. We also discuss the time evolution of the cluster sizes. While the mean size LA of the clusters of the minority species grows slowly, following a power-law LA(t)∼t14, the majority clusters grow faster, according to a stretched exponential, LB(t)∼exp(const × √t).

Suggested Citation

  • Sokolov, I.M. & Blumen, A., 1992. "Diffusion-controlled reactions in nonstoichiometrical layered systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 191(1), pages 177-181.
    • Handle: RePEc:eee:phsmap:v:191:y:1992:i:1:p:177-181
    DOI: 10.1016/0378-4371(92)90523-S
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    Cited by:

    1. Cox, Stephen M. & Clifford, Michael J. & Roberts, E.P.L., 1998. "A two-stage reaction with initially separated reactants," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 256(1), pages 65-86.

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