Diffusion-controlled reactions : Mathematical formulation , variational principles , and rigorous bounds

  title={Diffusion-controlled reactions : Mathematical formulation , variational principles , and rigorous bounds},
  author={Jacob Rubinstein and Salvatore Torquato},
This paper is concerned with the problem of predicting the effective rate constant k associated with diffusion-controlled reactions in media composed of static and reactive traps (sinks) which are generally distributed randomly throughout a region containing reactive particles. The effective equation for diffusion-controlled reactions is derived using the method of homogenization. This leads to a rigorous definition of k. General variational principles are then formulated to obtain rigorous… CONTINUE READING

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