Analysis of a model scheme incorporating reactant inhibition: instability of homogeneous solution and formation of spatio-temporal structures

Rajani, P. ; Bandyopadhyay, J. K. ; Inamdar, S. R. ; Kulkarni, B. D. (1993) Analysis of a model scheme incorporating reactant inhibition: instability of homogeneous solution and formation of spatio-temporal structures International Journal of Chemical Kinetics, 25 (7). pp. 509-520. ISSN 0538-8066

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Official URL: http://onlinelibrary.wiley.com/doi/10.1002/kin.550...

Related URL: http://dx.doi.org/10.1002/kin.550250702

Abstract

A model scheme incorporating reactant inhibition in the rate process has been analyzed with a view to study the instability of homogeneous solution due to diffusion. Conditions for the occurrence of Turing as well as phase instability are derived and show the existence of multiplicity in the parameter space. The Ginzburg-Landau equation for the system is developed and solved numerically in various regions of the parameter space. The simple model system shows the existence of very rich behavior including normal and inverted bifurcations in the super and subcritical regimes. The various results are analyzed and discussed.

Item Type:Article
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ID Code:17463
Deposited On:16 Nov 2010 13:02
Last Modified:06 Jun 2011 10:11

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