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Theories Oregonator model

TYSON and FIFE [4] have presented a theory of target pattern formation in the BZ reaction, based on the assumption that at the center of each pattern there is a heterogeneity which periodically triggers waves of excitation (either oxidation or reduction) which then propagate away from the center at speeds determined by the chemical composition of the medium at the wave front. They describe the chemistry of the reaction in terms of the highly successful Oregonator model [5,6]. In suitably scaled and reduced form the Oregonator equations are... [Pg.89]

Whenever we compare this theory to experiments on the BZ reaction or to calculations on the Oregonator model, we assume that V = DI and use Equation (20). At other times, when considering calculations on models with unequal diffusion constants, we use Equation (16). [Pg.104]

Jeffry L. Ramsey holds a B.A. and an M.S. in chemistry and a Ph.D. in the conceptual foundations of science from the University of Chicago. He was assistant professor of philosophy at Oregon State University, Corvallis, and is now at Smith College. His research focuses on how scientists view questions about theory construction, explanation, and reduction when they are faced with problems that are insoluble in practice or in principle (e.g., in the area of semiempirical models). He is also interested in questions of conceptual analysis as they arise in the chemical sciences (e.g., the case of shape). His essays have appeared in Philosophy of Science, Studies in History and Philosophy of Science, and Synthese, among other journals. [Pg.315]

Catastrophes occurring in these models in the presence of diffusion will be examined next. We shall investigate wave phenomena in the Fisher-Kolmogorov model and in the Oregonator as well as dissipative structures in the Brusselator. The studies of systems of reactions with diffusion, both experimental and theoretical, have not led yet to the formulation of a complete theory. Consequently, only fundamental results concerning the phenomena of a loss of stability type in these models will be presented. [Pg.260]


See other pages where Theories Oregonator model is mentioned: [Pg.18]    [Pg.115]    [Pg.656]    [Pg.180]    [Pg.139]   
See also in sourсe #XX -- [ Pg.137 ]




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