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Rate of diffusion-controlled reactions in a random array of monopole sinks

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  • Mattern, K.
  • Felderhof, B.U.

Abstract

We study the rate of diffusion-controlled reactions in a random array of stationary spherical sinks. We simplify the system to a monopole model and show that different theories proposed in the literature lead to different results for the first few terms in the density expansion of the rate coefficient. We derive a new expression for the rate coefficient valid to terms linear in the volume fraction occupied by sinks and analyze the shortcomings of the earlier theories.

Suggested Citation

  • Mattern, K. & Felderhof, B.U., 1986. "Rate of diffusion-controlled reactions in a random array of monopole sinks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 135(2), pages 505-518.
    • Handle: RePEc:eee:phsmap:v:135:y:1986:i:2:p:505-518
    DOI: 10.1016/0378-4371(86)90156-1
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    References listed on IDEAS

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    1. Hills, B.P. & Deutch, J.M., 1976. "Renormalization of the rotational diffusion coefficient in a fluctuating fluid," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 83(2), pages 401-410.
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