PhysRevE.72.026219.pdf (104.97 kB)
Dispersion curves in the diffusional instability of reaction fronts
journal contribution
posted on 2023-06-07, 23:17 authored by J H Merkin, Istvan KissA (linear) stability analysis of planar reaction fronts to transverse perturbations is considered for systems based on cubic autocatalysis and a model for the chlorite-tetrathionate reaction. Dispersion curves (plots of the growth rate sigma against a transverse wave-number k) are obtained. In both cases it is seen that there is a nonzero value D-0 of D (the ratio of the diffusion coefficients of autocatalyst and substrate) at which sigma(max), the maximum value of sigma for a given value of D, achieves its largest value, with sigma(max) being less for other values of D and becoming small as D decreases to zero. The existence of the optimum value D-0 for initiating a diffusional instability is confirmed, in the cubic autocatalysis case, by an asymptotic analysis for small wave numbers.
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Journal
Physical Review EISSN
1539-3755Publisher
American Physical SocietyExternal DOI
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2Volume
72Pages
6.0Department affiliated with
- Mathematics Publications
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Article Number: 026219Full text available
- Yes
Peer reviewed?
- Yes
Legacy Posted Date
2012-02-06First Open Access (FOA) Date
2016-03-22First Compliant Deposit (FCD) Date
2017-03-07Usage metrics
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