dorsal/arxiv
View SchemaLong-Lived Localized Field Configurations in Small Lattices: Application to Oscillons
| Authors | Marcelo Gleiser, Andrew Sornborger |
|---|---|
| Categories | |
| ArXiv ID | patt-sol/9909002 |
| URL | https://arxiv.org/abs/patt-sol/9909002 |
| DOI | 10.1103/PhysRevE.62.1368 |
| Journal | Phys.Rev. E62 (2000) 1368-1374 |
Abstract
Long-lived localized field configurations such as breathers, oscillons, or more complex objects naturally arise in the context of a wide range of nonlinear models in different numbers of spatial dimensions. We present a numerical method, which we call the {\it adiabatic damping method}, designed to study such configurations in small lattices. Using 3-dimensional oscillons in $\phi^4$ models as an example, we show that the method accurately (to a part in 10^5 or better) reproduces results obtained with static or dynamically expanding lattices, dramatically cutting down in integration time. We further present new results for 2-dimensional oscillons, whose lifetimes would be prohibitively long to study with conventional methods.
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"abstract": "Long-lived localized field configurations such as breathers, oscillons, or\nmore complex objects naturally arise in the context of a wide range of\nnonlinear models in different numbers of spatial dimensions. We present a\nnumerical method, which we call the {\\it adiabatic damping method}, designed to\nstudy such configurations in small lattices. Using 3-dimensional oscillons in\n$\\phi^4$ models as an example, we show that the method accurately (to a part in\n10^5 or better) reproduces results obtained with static or dynamically\nexpanding lattices, dramatically cutting down in integration time. We further\npresent new results for 2-dimensional oscillons, whose lifetimes would be\nprohibitively long to study with conventional methods.",
"arxiv_id": "patt-sol/9909002",
"authors": [
"Marcelo Gleiser",
"Andrew Sornborger"
],
"categories": [
"patt-sol",
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"hep-lat",
"hep-ph",
"nlin.PS",
"physics.comp-ph"
],
"doi": "10.1103/PhysRevE.62.1368",
"journal_ref": "Phys.Rev. E62 (2000) 1368-1374",
"title": "Long-Lived Localized Field Configurations in Small Lattices: Application to Oscillons",
"url": "https://arxiv.org/abs/patt-sol/9909002"
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