Alteration in Cross Diffusivities Governs the Nature and Dynamics of Spatiotemporal Pattern Formation.
cross diffusion
numerical simulations
reaction-diffusion systems
spatiotemporal pattern
stability analysis
Journal
Chemphyschem : a European journal of chemical physics and physical chemistry
ISSN: 1439-7641
Titre abrégé: Chemphyschem
Pays: Germany
ID NLM: 100954211
Informations de publication
Date de publication:
17 Jul 2020
17 Jul 2020
Historique:
received:
20
02
2020
revised:
27
05
2020
pubmed:
29
5
2020
medline:
29
5
2020
entrez:
29
5
2020
Statut:
ppublish
Résumé
Realizing spatiotemporal patterns out of a chemical reaction diffusion system remains an experimental challenge owing to the difficulty in overcoming the stringent condition of diffusion driven instability. Herein, by considering the spatially extended Gray-Scott model system, we have investigated how the cross diffusivities of the reactants involved influence the nature and dynamics of spatiotemporal patterns. Our study unravels that in absence of diffusion driven instability, spatially inhomogeneous patterns can be obtained for the Gray-Scott model system, and unstable time dependent patterns can be stabilized just by adjusting cross diffusivities of the reactants. Interestingly, the effect of cross diffusion in presence of the diffusion driven instability can differentially alter the speed of pattern formation, and potentially modify the nature of the spatiotemporal patterns obtained under different parametric conditions. Experimental verification of our findings may allow us to observe spatiotemporal patterns beyond the regime of classical Turing instability.
Identifiants
pubmed: 32463970
doi: 10.1002/cphc.202000142
doi:
Types de publication
Journal Article
Langues
eng
Sous-ensembles de citation
IM
Pagination
1608-1616Subventions
Organisme : UGC
ID : 17-06/2012(i)EU-V
Informations de copyright
© 2020 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim.
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