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Turing instability in a boundary-fed system

Setayeshgar, S. and Cross, M. C. (1998) Turing instability in a boundary-fed system. Physical Review E, 58 (4). pp. 4485-4500. ISSN 1063-651X. http://resolver.caltech.edu/CaltechAUTHORS:SETpre98

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Abstract

The formation of localized structures in the chlorine dioxide-idodine-malonic acid (CDIMA) reaction-diffusion system is investigated numerically using a realistic model of this system. We analyze the one-dimensional patterns formed along the gradients imposed by boundary feeds, and study their linear stability to symmetry-breaking perturbations (Turing instability) in the plane transverse to these gradients. We establish that an often-invoked simple local linear analysis that neglects longitudinal diffusion is inappropriate for predicting the linear stability of these patterns. Using a fully nonuniform analysis, we investigate the structure of the patterns formed along the gradients and their stability to transverse Turing pattern formation as a function of the values of two control parameters: the malonic acid feed concentration and the size of the reactor in the dimension along the gradients. The results from this investigation are compared with existing experiments.


Item Type:Article
Additional Information:©1998 The American Physical Society Received 26 February 1998 This work was supported by the National Science Foundation under Grant No. DMR-9311444, and by a generous award of computer time from the San Diego Supercomputer Center. We thank Dan Meiron for useful advice on the numerics.
Record Number:CaltechAUTHORS:SETpre98
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:SETpre98
Alternative URL:http://dx.doi.org/10.1103/PhysRevE.58.4485
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:2300
Collection:CaltechAUTHORS
Deposited By: Archive Administrator
Deposited On:23 Mar 2006
Last Modified:26 Dec 2012 08:48

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