Polybrusselator‐type models |
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| Authors: | Issa Katime Juan A. Pérez Ortiz Fabio Zuluaga Eduardo Mendizábal |
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| Affiliation: | 1. Grupo de Nuevos Materiales y Espectroscopia Supramolecular, Departamento de Química Física, Facultad de Ciencias, Campus de Lejona, Universidad del País Vasco, Apartado 644, Bilbao, Spain;2. Departamento de Química, Universidad del Valle, AA 25360 Cali, Colombia;3. Departamento de Quimica, Universidad de Guadalajara, Jalisco, México |
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| 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. Int J Chem Kinet 40: 617–623, 2008 |
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