Concentration fluctuations in reaction kinetics

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  • G. Zumofen
    Laboratorium für Physikalische Chemie, ETH-Zentrum, CH-8092 Zurich, Switzerland
  • A. Blumen
    Corporate Research Science Labortories, Exxon Research and Engineering Company, Clinton Township, Annandale, New Jersey 08801
  • J. Klafter
    Corporate Research Science Labortories, Exxon Research and Engineering Company, Clinton Township, Annandale, New Jersey 08801

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<jats:p>We study the kinetics of the A+A → P and the A+B → P diffusion-limited reactions by modeling the dynamics through random walks on regular and on fractal lattices. For the pseudounimolecular reactions A(0)≪B(0) we present exact analytical expressions for the target (DA=0) and the trapping (DB=0) problems. The kinetics of trapping as well as of the bimolecular reactions are then determined through simulation calculations. In all cases, we relate the results to Smoluchowski-type forms. Whereas the target and the A+A → P problems are well described by such forms, the trapping and the strictly bimolecular A+B → P reaction show different behaviors at longer times, due to fluctuations in the particle densities.</jats:p>

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