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Scaling probability, key to the equilibrium statistical volume distribution in foams

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  • de Icaza-Herrera, M.
  • Jiménez-Ceniceros, A.
  • Castaño, V.M.

Abstract

The equilibrium statistical volume distribution in foams, which has been previously demonstrated to be the so-called log-normal, is accounted on probability grounds by a scaling law on the bubble's volume time-evolution. This law states that the conditional probability for a given bubble to have the volume v(t + Δt), he assumption that it was v(t), to depend solely on the relationship v(t + Δt)v(t), and in particular, to be independent of the time t. The theoretical results, however, allow to go further. Indeed, since the time dependece of its parameters (expectation and variance) are given functions of time, only two parameters are necessary to describe completely the foam.

Suggested Citation

  • de Icaza-Herrera, M. & Jiménez-Ceniceros, A. & Castaño, V.M., 1994. "Scaling probability, key to the equilibrium statistical volume distribution in foams," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 210(3), pages 376-385.
    • Handle: RePEc:eee:phsmap:v:210:y:1994:i:3:p:376-385
    DOI: 10.1016/0378-4371(94)90085-X
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    1. Koessler, Maximilian, 1945. "Vichy's Sham Constitutionality," American Political Science Review, Cambridge University Press, vol. 39(1), pages 86-97, February.
    2. Steiger, G. Nye, 1947. "China. Edited by Harley Farnsworth McNair. (Berkeley, California: University of California Press. 1946. Pp. xxxv, 573. $6.50.)," American Political Science Review, Cambridge University Press, vol. 41(3), pages 583-584, June.
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