First-Passage Exponent in Two-Dimensional Soap Froth

نویسندگان

  • W. Y. Tam
  • R. Zeitak
  • K. Y. Szeto
  • J. Stavans
چکیده

We report an experimental measurement of the temporal dependence of the area Aus in a twodimensional 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 t0 within the scaling regime. We find Aus scales with the mean cell area kAl as Aus ~ kAl 0 , with a first-passage exponent u0 ­ 1.16 6 0.02; and for the average perimeter kPl: kPl ~ kAl 0 and Aus ~ kPl 0 with values of the scaling exponents c 0 ­ 0.49 6 0.01 and f0 ­ 2.38 6 0.02. We also find a scaling function in AusstdyAusst0d versus kAstdlykAst0dl. [S0031-9007(97)02491-5]

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تاریخ انتشار 1997