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Title: Effect of inhomogeneities on spiral wave dynamics in the Belousov-Zhabotinsky reaction

Abstract

We examine the effects of controlled, slowly varying spatial inhomogeneities on spiral wave dynamics in the light sensitive Belousov-Zhabotinsky chemical reaction-diffusion system. We measure the speed of the grain boundary that separates two spirals, the speed of the lower frequency spiral being swept away by the grain boundary, and the speed of the slow drift of the highest frequency spiral. The grain boundary speeds are shown to be related to the frequency of rotation and wave number of the spiral pattern, as predicted from analysis of the complex Ginzburg-Landau equation [M. Hendrey et al., Phys. Rev. Lett. 82, 859 (1999); Phys. Rev. E 61, 4943 (2000)].

Authors:
; ;  [1];  [2]
  1. Department of Mathematics, Duke University, Durham, North Carolina 27708, USA and Department of Mathematics, Bucknell University, Lewisburg, Pennsylvania 17837 (United States)
  2. (United States)
Publication Date:
OSTI Identifier:
20709841
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics; Journal Volume: 72; Journal Issue: 5; Other Information: DOI: 10.1103/PhysRevE.72.056205; (c) 2005 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; CHEMICAL REACTIONS; DIFFUSION; GINZBURG-LANDAU THEORY; GRAIN BOUNDARIES; ROTATION; VELOCITY

Citation Formats

Smolka, Linda B., Marts, Bradley, Lin, Anna L., and Center for Nonlinear and Complex Systems and Department of Physics, Duke University, Durham, North Carolina 27708. Effect of inhomogeneities on spiral wave dynamics in the Belousov-Zhabotinsky reaction. United States: N. p., 2005. Web. doi:10.1103/PhysRevE.72.056205.
Smolka, Linda B., Marts, Bradley, Lin, Anna L., & Center for Nonlinear and Complex Systems and Department of Physics, Duke University, Durham, North Carolina 27708. Effect of inhomogeneities on spiral wave dynamics in the Belousov-Zhabotinsky reaction. United States. doi:10.1103/PhysRevE.72.056205.
Smolka, Linda B., Marts, Bradley, Lin, Anna L., and Center for Nonlinear and Complex Systems and Department of Physics, Duke University, Durham, North Carolina 27708. Tue . "Effect of inhomogeneities on spiral wave dynamics in the Belousov-Zhabotinsky reaction". United States. doi:10.1103/PhysRevE.72.056205.
@article{osti_20709841,
title = {Effect of inhomogeneities on spiral wave dynamics in the Belousov-Zhabotinsky reaction},
author = {Smolka, Linda B. and Marts, Bradley and Lin, Anna L. and Center for Nonlinear and Complex Systems and Department of Physics, Duke University, Durham, North Carolina 27708},
abstractNote = {We examine the effects of controlled, slowly varying spatial inhomogeneities on spiral wave dynamics in the light sensitive Belousov-Zhabotinsky chemical reaction-diffusion system. We measure the speed of the grain boundary that separates two spirals, the speed of the lower frequency spiral being swept away by the grain boundary, and the speed of the slow drift of the highest frequency spiral. The grain boundary speeds are shown to be related to the frequency of rotation and wave number of the spiral pattern, as predicted from analysis of the complex Ginzburg-Landau equation [M. Hendrey et al., Phys. Rev. Lett. 82, 859 (1999); Phys. Rev. E 61, 4943 (2000)].},
doi = {10.1103/PhysRevE.72.056205},
journal = {Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics},
number = 5,
volume = 72,
place = {United States},
year = {Tue Nov 01 00:00:00 EST 2005},
month = {Tue Nov 01 00:00:00 EST 2005}
}