Non-monotonic resonance in a spatially forced Lengyel-Epstein model
Abstract
Here, we study resonant spatially periodic solutions of the Lengyel-Epstein model modified to describe the chlorine dioxide-iodine-malonic acid reaction under spatially periodic illumination. Using multiple-scale analysis and numerical simulations, we obtain the stability ranges of 2:1 resonant solutions, i.e., solutions with wavenumbers that are exactly half of the forcing wavenumber. We show that the width of resonant wavenumber response is a non-monotonic function of the forcing strength, and diminishes to zero at sufficiently strong forcing. Furthermore, we show that strong forcing may result in a π/2 phase shift of the resonant solutions, and argue that the nonequilibrium Ising-Bloch front bifurcation can be reversed. Finally, we attribute these behaviors to an inherent property of forcing by periodic illumination, namely, the increase of the mean spatial illumination as the forcing amplitude is increased.
- Authors:
-
- Ben-Gurion Univ. of Negev, Beer-Sheva (Israel). Physics Dept.; Soroka Univ. Medical Center, Beer-Sheva (Israel)
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States). Center for Nonlinear Studies
- Ben-Gurion Univ. of Negev, Beer-Sheva (Israel). Physics Dept.; Ben-Gurion Univ. of Negev, Midreshet Ben-Gurion (Israel)
- Publication Date:
- Research Org.:
- Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 1329575
- Report Number(s):
- LA-UR-15-21321
Journal ID: ISSN 1054-1500; CHAOEH
- Grant/Contract Number:
- AC52-06NA25396; 2008241
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Chaos: An Interdisciplinary Journal of Nonlinear Science
- Additional Journal Information:
- Journal Volume: 25; Journal Issue: 6; Journal ID: ISSN 1054-1500
- Publisher:
- American Institute of Physics (AIP)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; Mathematics
Citation Formats
Haim, Lev, Hagberg, Aric, and Meron, Ehud. Non-monotonic resonance in a spatially forced Lengyel-Epstein model. United States: N. p., 2015.
Web. doi:10.1063/1.4921768.
Haim, Lev, Hagberg, Aric, & Meron, Ehud. Non-monotonic resonance in a spatially forced Lengyel-Epstein model. United States. https://doi.org/10.1063/1.4921768
Haim, Lev, Hagberg, Aric, and Meron, Ehud. Tue .
"Non-monotonic resonance in a spatially forced Lengyel-Epstein model". United States. https://doi.org/10.1063/1.4921768. https://www.osti.gov/servlets/purl/1329575.
@article{osti_1329575,
title = {Non-monotonic resonance in a spatially forced Lengyel-Epstein model},
author = {Haim, Lev and Hagberg, Aric and Meron, Ehud},
abstractNote = {Here, we study resonant spatially periodic solutions of the Lengyel-Epstein model modified to describe the chlorine dioxide-iodine-malonic acid reaction under spatially periodic illumination. Using multiple-scale analysis and numerical simulations, we obtain the stability ranges of 2:1 resonant solutions, i.e., solutions with wavenumbers that are exactly half of the forcing wavenumber. We show that the width of resonant wavenumber response is a non-monotonic function of the forcing strength, and diminishes to zero at sufficiently strong forcing. Furthermore, we show that strong forcing may result in a π/2 phase shift of the resonant solutions, and argue that the nonequilibrium Ising-Bloch front bifurcation can be reversed. Finally, we attribute these behaviors to an inherent property of forcing by periodic illumination, namely, the increase of the mean spatial illumination as the forcing amplitude is increased.},
doi = {10.1063/1.4921768},
journal = {Chaos: An Interdisciplinary Journal of Nonlinear Science},
number = 6,
volume = 25,
place = {United States},
year = {Tue Jun 02 00:00:00 EDT 2015},
month = {Tue Jun 02 00:00:00 EDT 2015}
}
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