Logarithmically slow expansion of hot bubbles in gases

Citation
B. Meerson et al., Logarithmically slow expansion of hot bubbles in gases, PHYS REV E, 61(2), 2000, pp. 1403-1406
Citations number
14
Categorie Soggetti
Physics
Journal title
PHYSICAL REVIEW E
ISSN journal
1063651X → ACNP
Volume
61
Issue
2
Year of publication
2000
Pages
1403 - 1406
Database
ISI
SICI code
1063-651X(200002)61:2<1403:LSEOHB>2.0.ZU;2-E
Abstract
We predict a logarithmically slow expansion of hot bubbles in gases in the process of cooling. A model problem is first solved, when the temperature h as compact support. Then the temperature profile decaying exponentially at large distances is considered. The periphery of the bubble is shown to rema in essentially static ("glassy'') in the process of cooling until it is tak en over by a logarithmically slowly expanding "core." An analytical solutio n to the problem is obtained by matched asymptotic expansion. This problem gives an example of how logarithmic corrections enter dynamic scaling.