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Fronts and patterns in a spatially forced CDIMA reaction

Haim, Lev and Hagberg, Aric and Nagao, Raphael and Preska Steinberg, Asher and Dolnik, Milos and Epstein, Irving R. and Meron, Ehud (2014) Fronts and patterns in a spatially forced CDIMA reaction. Physical Chemistry Chemical Physics, 16 (47). pp. 26137-26143. ISSN 1463-9076. http://resolver.caltech.edu/CaltechAUTHORS:20141219-100658489

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Abstract

We use the CDIMA chemical reaction and the Lengyel–Epstein model of this reaction to study resonant responses of a pattern-forming system to time-independent spatial periodic forcing. We focus on the 2:1 resonance, where the wavenumber of a one-dimensional periodic forcing is about twice the wavenumber of the natural stripe pattern that the unforced system tends to form. Within this resonance, we study transverse fronts that shift the phase of resonant stripe patterns by π. We identify phase fronts that shift the phase discontinuously, and pairs of phase fronts that shift the phase continuously, clockwise and anti-clockwise. We further identify a front bifurcation that destabilizes the discontinuous front and leads to a pair of continuous fronts. This bifurcation is the spatial counterpart of the nonequilibrium Ising–Bloch (NIB) bifurcation in temporally forced oscillatory systems. The spatial NIB bifurcation that we find occurs as the forcing strength is increased, unlike earlier studies of the NIB bifurcation. Furthermore, the bifurcation is subcritical, implying a range of forcing strength where both discontinuous Ising fronts and continuous Bloch fronts are stable. Finally, we find that both Ising fronts and Bloch fronts can form discrete families of bound pairs, and we relate arrays of these front pairs to extended rectangular and oblique patterns.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1039/c4cp04261a DOIArticle
http://pubs.rsc.org/en/Content/ArticleLanding/2014/CP/C4CP04261APublisherArticle
ORCID:
AuthorORCID
Preska Steinberg, Asher0000-0002-8694-7224
Additional Information:© 2014 the Owner Societies. Received 22nd September 2014, Accepted 22nd October 2014, First published online 31 Oct 2014. The support of the United States-Israel Binational Science Foundation (Grant No. 2008241) is gratefully acknowledged. Part of this work was funded by the Laboratory Directed Research and Development program at Los Alamos National Laboratory under Department of Energy Contract No. DE-AC52-06NA25396.
Funders:
Funding AgencyGrant Number
United States-Israel Binational Science Foundation (BSF)2008241
Department of Energy (DOE)DE-AC52-06NA25396
Record Number:CaltechAUTHORS:20141219-100658489
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20141219-100658489
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:53033
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:19 Dec 2014 18:24
Last Modified:20 Feb 2019 17:27

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