dorsal/arxiv
View SchemaOscillon-type Structures and Their Interaction in a Swift-Hohenberg Model
| Authors | Catherine Crawford, Hermann Riecke |
|---|---|
| Categories | |
| ArXiv ID | patt-sol/9804005 |
| URL | https://arxiv.org/abs/patt-sol/9804005 |
| DOI | 10.1016/S0167-2789(98)00280-2 |
Abstract
Motivated by the observation of localized circular excitations (`oscillons') in vertically vibrated granular layers (P.B. Umbanhowar, F. Melo and H.L. Swinney, Nature 382 (1996) 793), we numerically investigate an extension of a Swift-Hohenberg model that exhibits a subcritical transition to square patterns. For sufficient subcriticality, stable oscillon structures are found. The localization mechanism is quite general and is due to non-adiabatic effects. Bound structures of oscillons of equal and opposite polarity are found with bound states of like polarity being less robust. Much of the phenomena are consistent with the experimental observations and suggest that oscillons are not specific to patterns in granular media or to parametrically driven systems. Experimental tests are suggested that would determine whether this minimal framework is sufficient to describe the phenomena.
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"abstract": "Motivated by the observation of localized circular excitations (`oscillons\u0027)\nin vertically vibrated granular layers (P.B. Umbanhowar, F. Melo and H.L.\nSwinney, Nature 382 (1996) 793), we numerically investigate an extension of a\nSwift-Hohenberg model that exhibits a subcritical transition to square\npatterns. For sufficient subcriticality, stable oscillon structures are found.\nThe localization mechanism is quite general and is due to non-adiabatic\neffects. Bound structures of oscillons of equal and opposite polarity are found\nwith bound states of like polarity being less robust. Much of the phenomena are\nconsistent with the experimental observations and suggest that oscillons are\nnot specific to patterns in granular media or to parametrically driven systems.\nExperimental tests are suggested that would determine whether this minimal\nframework is sufficient to describe the phenomena.",
"arxiv_id": "patt-sol/9804005",
"authors": [
"Catherine Crawford",
"Hermann Riecke"
],
"categories": [
"patt-sol",
"nlin.PS"
],
"doi": "10.1016/S0167-2789(98)00280-2",
"title": "Oscillon-type Structures and Their Interaction in a Swift-Hohenberg Model",
"url": "https://arxiv.org/abs/patt-sol/9804005"
},
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