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Dynamics of Synergetic Systems pp 107–118Cite as

On the Consistency of the Mathematical Models of Chemical Reactions

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Part of the book series: Springer Series in Synergetics ((SSSYN,volume 6))

Abstract

There are two main principles according to which chemical reactions in a spatial domain are modeled:

  1. (i)

    global description (i.e. without diffusion, spatially homogeneous or ‘well-stirred’ case) versus local description (i.e. including diffusion, spatially inhomogeneous case),

  2. (ii)

    deterministic description (macroscopic, phenomenological, in terms of concentrations) versus stochastic description (on the level of numbers of particles, taking into account internal fluctuations).

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References

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Author information

Authors and Affiliations

  1. Fachbereich Mathematik, Forschungsschwerpunkt Dynamische Systeme, Universität Bremen, D-2800, Bremen 33, Germany

    L. Arnold

Authors
  1. L. Arnold
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Editor information

Editors and Affiliations

  1. Institut für Theoretische Physik der Universität Stuttgart, Pfaffenwaldring 57/IV, D-7000, Stuttgart 80, Germany

    Hermann Haken

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© 1980 Springer-Verlag Berlin Heidelberg

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Arnold, L. (1980). On the Consistency of the Mathematical Models of Chemical Reactions. In: Haken, H. (eds) Dynamics of Synergetic Systems. Springer Series in Synergetics, vol 6. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-67592-8_9

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  • DOI: https://doi.org/10.1007/978-3-642-67592-8_9

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-67594-2

  • Online ISBN: 978-3-642-67592-8

  • eBook Packages: Springer Book Archive

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