dorsal/arxiv
View SchemaMULTIPLE FRONT PROPAGATION IN A POTENTIAL NON-GRADIENT SYSTEM
| Authors | M. San Miguel, R. Montagne, A. Amengual, E. Hernandez-Garcia |
|---|---|
| Categories | |
| ArXiv ID | patt-sol/9502003 |
| URL | https://arxiv.org/abs/patt-sol/9502003 |
| Journal | in 'Instabilities and Nonequilibrium Structures V', Eds. E. Tirapegui and W. Zeller, Kluwer Publisher, 1996 |
Abstract
A classification of dynamical systems in terms of their variational properties is reviewed. Within this classification, front propagation is discussed in a non-gradient relaxational potential flow. The model is motivated by transient pattern phenomena in nematics. A front propagating into an unstable homogenous state leaves behind an unstable periodic pattern, which decays via a second front and a second periodic state. An interface between unstable periodic states is shown to be a source of propagating fronts in opposite directions.
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"abstract": "A classification of dynamical systems in terms of their variational\nproperties is reviewed. Within this classification, front propagation is\ndiscussed in a non-gradient relaxational potential flow. The model is motivated\nby transient pattern phenomena in nematics. A front propagating into an\nunstable homogenous state leaves behind an unstable periodic pattern, which\ndecays via a second front and a second periodic state. An interface between\nunstable periodic states is shown to be a source of propagating fronts in\nopposite directions.",
"arxiv_id": "patt-sol/9502003",
"authors": [
"M. San Miguel",
"R. Montagne",
"A. Amengual",
"E. Hernandez-Garcia"
],
"categories": [
"patt-sol",
"cond-mat",
"nlin.PS"
],
"journal_ref": "in \u0027Instabilities and Nonequilibrium Structures V\u0027, Eds. E.\n Tirapegui and W. Zeller, Kluwer Publisher, 1996",
"title": "MULTIPLE FRONT PROPAGATION IN A POTENTIAL NON-GRADIENT SYSTEM",
"url": "https://arxiv.org/abs/patt-sol/9502003"
},
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