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Stochastic Dynamics pp 88–100Cite as

A diffusion-limited reaction

  • Activation And Brownian Motors
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Part of the book series: Lecture Notes in Physics ((LNP,volume 484))

Abstract

Fluctuations in diffusion-controlled reactions lack the necessary features for a mesoscopic description. We show how the correlations dominate the dynamics by juxtaposing the macroscopic dynamics of a cellular automaton model for the diffusion-controlled limit to the deterministic diffusion-reaction rate equation for the same reaction. A more detailed N-body master equation is then presented in which explicit diffusion-controlled limits are explained.

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Authors and Affiliations

  1. Inst. für theor. Physik III, H.-Heine-Universität, D-37083, Düsseldorf, Germany

    Martin A. Burschka

Authors
  1. Martin A. Burschka
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Editor information

Lutz Schimansky-Geier Thorsten Pöschel

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© 1997 Springer-Verlag

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Burschka, M.A. (1997). A diffusion-limited reaction. In: Schimansky-Geier, L., Pöschel, T. (eds) Stochastic Dynamics. Lecture Notes in Physics, vol 484. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0105602

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  • DOI: https://doi.org/10.1007/BFb0105602

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-62893-4

  • Online ISBN: 978-3-540-69040-5

  • eBook Packages: Springer Book Archive

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