Chemistry of Inorganic Systems Exhibiting Nonmonotonic Behavior

Field, Richard J.

doi:10.1016/b978-0-12-681904-5.50008-5

Cited by 6 publications

(1 citation statement)

References 101 publications

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“…This autocatalysis is apparently of fundamental importance to the appearance of traveling bands. There is probably not a great deal of uncertainty in the range of ks values suggested above, but there is some uncertainty [4] in the physically realistic range of f. The value of f may indeed be higher than 2. (1.5) suggests that the physically reasonable ranges of ks and f are 0sec-l<ks<10sec -1 and 0-<f_-<2.…”

mentioning

confidence: 97%

The Existence of Solitary Traveling Wave Solutions of a Model of the Belousov-Zhabotinskii Reaction

Field¹,

Troy²

1979

SIAM J. Appl. Math.

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We investigate a system of partial differential equations which model the reaction-diffusion dynamics of the Belousov-Zhabotinskii chemical reaction. Our system is developed from the Oregonator model of Field and Noyes. Over a physically reasonable range of parameters for which the system exhibits no temporal oscillations, we show that the equations have a solitary traveling wave solution. These waves appear to correspond to the "trigger waves" observed experimentally in the reaction. In addition we show that if the autocatalytic reaction is sufficiently slow, then as expected from the chemistry, the model has no solitary traveling wave solutions.We numerically compute the wave speed and it is shown to be close to the observed speed of the trigger waves. Also, the dependence of the wave speed on the various measurable physical parameters in the model is computed and shown to be in excellent agreement with that observed.

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mentioning

confidence: 97%

The Existence of Solitary Traveling Wave Solutions of a Model of the Belousov-Zhabotinskii Reaction

Field¹,

Troy²

1979

SIAM J. Appl. Math.

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Contribution to the Chemistry of the Belousov‐Zhabotinskii (BZ) Type Reactions

Noszticzius¹,

Bódiss²

1980

Ber Bunsenges Phys Chem

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Four new experimental observations are discussed which are difficult to interpret if we regard the bromide ion as a control intermediate of the BZ reaction. To explain the experimental facts two new hypothetical models: the bromine controlled (BC) model of the heterogeneous oscillations (substrate oxalic acid) and the Lotka‐Volterra (LV) model of the homogeneous oscillations with mixed substrate (oxalic acid‐aceton) are presented. Some variations of the more realistic LV model are mentioned.

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