Please use this identifier to cite or link to this item: https://hdl.handle.net/20.500.12104/43700
Title: Polybrusselator-type models
Author: Katime, I.
Perez Ortiz, J.A.
Zuluaga, F.
Mendizábal, E. M.
Issue Date: 2008
Abstract: In this paper, the possibility for autocatalysis in polymerization reactions is explored by introducing part of a polymerization mechanism in a model known as Brusselator. It is assumed that monomer concentration is practically constant. Four possibilities are examined: (1) a first radical propagator X, which has an isomer of position of the free electron, Y, dimerizes reversibly and this dimer catalyzes the isomerization of Y to X; (2) the radical propagator X is a polymer with a critical degree of polymerization and has an isomer of position of the free electron Y. This critical radical propagator catalyzes the conversion of Y to X; (3) any radical propagator has an isomer of position of the free electron, Y, and any polymer obtained by recombination of the radicals can catalyze the conversion of Y into its corresponding isomer X; and (4) any radical propagator with a critical degree of polymerization can catalyze the conversion of Y into its corresponding isomer. Isomorphism equations are obtained in all mechanisms, which implies the possibility of limit cycle oscillations (Brusselator model). © 2008 Wiley Periodicals, Inc.
URI: http://www.scopus.com/inward/record.url?eid=2-s2.0-52649084152&partnerID=40&md5=d91632d6f68e5d1b26c251681ce664a5
http://hdl.handle.net/20.500.12104/43700
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