dorsal/arxiv
View SchemaDual Fronts Propagating into an Unstable State
| Authors | F. J. Elmer, J. -P. Eckmann, G. Hartsleben |
|---|---|
| Categories | |
| ArXiv ID | patt-sol/9311007 |
| URL | https://arxiv.org/abs/patt-sol/9311007 |
| DOI | 10.1088/0951-7715/7/4/011 |
Abstract
The interface between an unstable state and a stable state usually develops a single confined front travelling with constant velocity into the unstable state. Recently, the splitting of such an interface into {\em two} fronts propagating with {\em different} velocities was observed numerically in a magnetic system. The intermediate state is unstable and grows linearly in time. We first establish rigorously the existence of this phenomenon, called ``dual front,'' for a class of structurally unstable one-component models. Then we use this insight to explain dual fronts for a generic two-component reaction-diffusion system, and for the magnetic system.
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"abstract": "The interface between an unstable state and a stable state usually develops a\nsingle confined front travelling with constant velocity into the unstable\nstate. Recently, the splitting of such an interface into {\\em two} fronts\npropagating with {\\em different} velocities was observed numerically in a\nmagnetic system. The intermediate state is unstable and grows linearly in time.\nWe first establish rigorously the existence of this phenomenon, called ``dual\nfront,\u0027\u0027 for a class of structurally unstable one-component models. Then we use\nthis insight to explain dual fronts for a generic two-component\nreaction-diffusion system, and for the magnetic system.",
"arxiv_id": "patt-sol/9311007",
"authors": [
"F. J. Elmer",
"J. -P. Eckmann",
"G. Hartsleben"
],
"categories": [
"patt-sol",
"nlin.PS"
],
"doi": "10.1088/0951-7715/7/4/011",
"title": "Dual Fronts Propagating into an Unstable State",
"url": "https://arxiv.org/abs/patt-sol/9311007"
},
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