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Chemical Engineering Science
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Preprint . 2009
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Asymptotology of chemical reaction networks

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Conference object 01 Apr 2010Embargo end date: 01 Jan 2009 United Kingdom, France English Publisher:Elsevier BVJournal:Chemical Engineering Science, volume 65, pages 2,310-2,324 (issn: 0009-2509, Copyright policy )
Authors: Gorban, Alexander; Radulescu, Ovidiu; Zinovyev, Andrei;

doi: 10.1016/j.ces.2009.09.005 , 10.48550/arxiv.0903.5072

arXiv: 0903.5072

handle: 2381/26771

Asymptotology of chemical reaction networks

Abstract

The concept of the limiting step is extended to the asymptotology of multiscale reaction networks. Complete theory for linear networks with well separated reaction rate constants is developed. We present algorithms for explicit approximations of eigenvalues and eigenvectors of kinetic matrix. Accuracy of estimates is proven. Performance of the algorithms is demonstrated on simple examples. Application of algorithms to nonlinear systems is discussed.

23 pages, 8 figures, 84 refs, Corrected Journal Version

Countries
United Kingdom, France
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Keywords

Chemical Physics (physics.chem-ph), [CHIM.THEO] Chemical Sciences/Theoretical and/or physical chemistry, Physics - Chemical Physics, FOS: Physical sciences, Computational Physics (physics.comp-ph), Physics - Computational Physics

  • BIP!
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    selected citations
    These citations are derived from selected sources.
    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 53
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    		 Top 10%
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 Top 10%
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    		 Top 10%
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
53
Top 10%
Top 10%
Top 10%
Green
bronze