FIRST-PASSAGE EXPONENT IN 2-DIMENSIONAL SOAP FROTH

Citation
Wy. Tam et al., FIRST-PASSAGE EXPONENT IN 2-DIMENSIONAL SOAP FROTH, Physical review letters, 78(8), 1997, pp. 1588-1591
Citations number
24
Categorie Soggetti
Physics
Journal title
ISSN journal
00319007
Volume
78
Issue
8
Year of publication
1997
Pages
1588 - 1591
Database
ISI
SICI code
0031-9007(1997)78:8<1588:FEI2SF>2.0.ZU;2-O
Abstract
We report an experimental measurement of the temporal dependence of th e area A(us) in a two-dimensional soap froth which has not been swept by the passage of soap films up to time t, as the froth coarsens from an initial time to within the scaling regime. We find A(us) stales wit h the mean cell area [A] as A(us) proportional to [A](-theta'), with a first-passage exponent theta' = 1.16 +/- 0.02; and for the average pe rimeter [P]: [P] proportional to [A](psi') and A(us) proportional to [ P](phi') with values of the scaling exponents psi' = 0.49 +/- 0.01 and phi' = 2.38 +/- 0.02. We also find a scaling function in A(us)(t)/A(u s)(t(0)) versus [A(t)]/[A(t(0))].