Logarithmically Slow Expansion of Hot Bubbles in Gases
patt-sol
2009-10-31 v1 Pattern Formation and Solitons
Fluid Dynamics
Plasma Physics
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.
Keywords
Cite
@article{arxiv.patt-sol/9905008,
title = {Logarithmically Slow Expansion of Hot Bubbles in Gases},
author = {Baruch Meerson and Pavel V. Sasorov and Ken Sekimoto},
journal= {arXiv preprint arXiv:patt-sol/9905008},
year = {2009}
}
Comments
4 pages, 1 figure