dorsal/arxiv
View SchemaLogarithmically Slow Expansion of Hot Bubbles in Gases
| Authors | Baruch Meerson, Pavel V. Sasorov, Ken Sekimoto |
|---|---|
| Categories | |
| ArXiv ID | patt-sol/9905008 |
| URL | https://arxiv.org/abs/patt-sol/9905008 |
| DOI | 10.1103/PhysRevE.61.1403 |
Abstract
We report logarithmically slow expansion of hot bubbles in gases in the process of cooling. A model problem first solved, when the temperature has compact support. Then temperature profile decaying exponentially at large distances is considered. The periphery of the bubble is shown to remain essentially static ("glassy") in the process of cooling until it is taken over by a logarithmically slowly expanding "core". An analytical solution to the problem is obtained by matched asymptotic expansion. This problem gives an example of how logarithmic corrections enter dynamic scaling.
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"abstract": "We report logarithmically slow expansion of hot bubbles in gases in the\nprocess of cooling. A model problem first solved, when the temperature has\ncompact support. Then temperature profile decaying exponentially at large\ndistances is considered. The periphery of the bubble is shown to remain\nessentially static (\"glassy\") in the process of cooling until it is taken over\nby a logarithmically slowly expanding \"core\". An analytical solution to the\nproblem is obtained by matched asymptotic expansion. This problem gives an\nexample of how logarithmic corrections enter dynamic scaling.",
"arxiv_id": "patt-sol/9905008",
"authors": [
"Baruch Meerson",
"Pavel V. Sasorov",
"Ken Sekimoto"
],
"categories": [
"patt-sol",
"nlin.PS",
"physics.flu-dyn",
"physics.plasm-ph"
],
"doi": "10.1103/PhysRevE.61.1403",
"title": "Logarithmically Slow Expansion of Hot Bubbles in Gases",
"url": "https://arxiv.org/abs/patt-sol/9905008"
},
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