dorsal/arxiv
View SchemaDynamic Front Transitions and Spiral-Vortex Nucleation
| Authors | Christian Elphick, Aric Hagberg, Ehud Meron |
|---|---|
| Categories | |
| ArXiv ID | patt-sol/9404005 |
| URL | https://arxiv.org/abs/patt-sol/9404005 |
| DOI | 10.1103/PhysRevE.51.3052 |
Abstract
This is a study of front dynamics in reaction diffusion systems near Nonequilibrium Ising-Bloch bifurcations. We find that the relation between front velocity and perturbative factors, such as external fields and curvature, is typically multivalued. This unusual form allows small perturbations to induce dynamic transitions between counter-propagating fronts and nucleate spiral vortices. We use these findings to propose explanations for a few numerical and experimental observations including spiral breakup driven by advective fields, and spot splitting.
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"abstract": "This is a study of front dynamics in reaction diffusion systems near\nNonequilibrium Ising-Bloch bifurcations. We find that the relation between\nfront velocity and perturbative factors, such as external fields and curvature,\nis typically multivalued. This unusual form allows small perturbations to\ninduce dynamic transitions between counter-propagating fronts and nucleate\nspiral vortices. We use these findings to propose explanations for a few\nnumerical and experimental observations including spiral breakup driven by\nadvective fields, and spot splitting.",
"arxiv_id": "patt-sol/9404005",
"authors": [
"Christian Elphick",
"Aric Hagberg",
"Ehud Meron"
],
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"nlin.PS"
],
"doi": "10.1103/PhysRevE.51.3052",
"title": "Dynamic Front Transitions and Spiral-Vortex Nucleation",
"url": "https://arxiv.org/abs/patt-sol/9404005"
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