Systems of first-order chemical reactions
type: Item
instance of: scholarly article
title: Systems of first-order chemical reactions
zbMATH Open document ID: 0665.92026
DOI: 10.1016/0895-7177(88)90182-3
author: S. H. Smith
published in: Mathematical and Computer Modelling
publication date: 1988-01-01T00:00:00Z
review text: A reaction system where every species of a finite number of species reacts by first order to every other species is investigated. The convergence behaviour of the solution of the corresponding initial value problem \(dx/dt=Kx\), where x stands for the vector of concentrations and K is the matrix that results from the rate constants, is studied in respect to properties of K that reflect special forms of reaction schemes. In particular, the significance of the principle of microscopic reversibility for the non-existence of oscillatory solutions is pointed out.
Mathematics Subject Classification ID: 92Exx
Mathematics Subject Classification ID: 80A30
Mathematics Subject Classification ID: 34A30
zbMATH DE Number: 4089392
zbMATH Keywords: linear chemical system
zbMATH Keywords: first-order kinetics
zbMATH Keywords: reaction system
zbMATH Keywords: finite number of species
zbMATH Keywords: reaction schemes
zbMATH Keywords: principle of microscopic reversibility
zbMATH Keywords: non-existence of oscillatory solutions
reviewed by: Dietmar Dorninger
MaRDI profile type: Publication
full work available at URL: 0895-7177(88)90182-3
OpenAlex ID: W2070721230
cites work: Q5603271
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description: scientific article; zbMATH DE number 4089392