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On the Consistency of the Mathematical Models of Chemical Reactions

  • L. Arnold
Part of the Springer Series in Synergetics book series (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).

     

Keywords

Deterministic Model Infinitesimal Generator Flux Boundary Condition Jump Markov Process Stochastic Description 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1980

Authors and Affiliations

  • L. Arnold
    • 1
  1. 1.Fachbereich Mathematik, Forschungsschwerpunkt Dynamische SystemeUniversität BremenBremen 33Germany

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