Travelling Waves in an Ionic Quadratic Autocatalytic Chemical System

Alexander Finlayson, John Merkin

Research output: Contribution to journalArticle

Abstract

Abstract-The influence of a constant electric field on the travelling waves that are initiated in an ionic autocatalytic reaction-diffusion system with quadratic rate law is considered. The necessary conditions for the existence of minimum speed travelling waves are established and examples of such waves have been generated using numerical simulation. The behaviour of the system when the necessary conditions are not satisfied is also examined. This behaviour involves electrophoretic separation and reaction termination, each of which is discussed using examples obtained from numerical simulation.
Original languageEnglish
Pages (from-to)89-112
Number of pages24
JournalMathematical and Computer Modelling
Volume29
Issue number1999
Publication statusPublished - 1999

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Traveling Wave
Necessary Conditions
Numerical Simulation
Reaction-diffusion System
Termination
Electric Field
Influence

Cite this

Finlayson, Alexander ; Merkin, John. / Travelling Waves in an Ionic Quadratic Autocatalytic Chemical System. In: Mathematical and Computer Modelling. 1999 ; Vol. 29, No. 1999. pp. 89-112.
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Travelling Waves in an Ionic Quadratic Autocatalytic Chemical System. / Finlayson, Alexander; Merkin, John.

In: Mathematical and Computer Modelling, Vol. 29, No. 1999, 1999, p. 89-112.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Travelling Waves in an Ionic Quadratic Autocatalytic Chemical System

AU - Finlayson, Alexander

AU - Merkin, John

PY - 1999

Y1 - 1999

N2 - Abstract-The influence of a constant electric field on the travelling waves that are initiated in an ionic autocatalytic reaction-diffusion system with quadratic rate law is considered. The necessary conditions for the existence of minimum speed travelling waves are established and examples of such waves have been generated using numerical simulation. The behaviour of the system when the necessary conditions are not satisfied is also examined. This behaviour involves electrophoretic separation and reaction termination, each of which is discussed using examples obtained from numerical simulation.

AB - Abstract-The influence of a constant electric field on the travelling waves that are initiated in an ionic autocatalytic reaction-diffusion system with quadratic rate law is considered. The necessary conditions for the existence of minimum speed travelling waves are established and examples of such waves have been generated using numerical simulation. The behaviour of the system when the necessary conditions are not satisfied is also examined. This behaviour involves electrophoretic separation and reaction termination, each of which is discussed using examples obtained from numerical simulation.

M3 - Article

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JO - Mathematical and Computer Modelling

JF - Mathematical and Computer Modelling

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