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

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

Physica A: Statistical Mechanics and its Applications, 1994, vol. 210, issue 3, 376-385

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.

Date: 1994
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:210:y:1994:i:3:p:376-385

DOI: 10.1016/0378-4371(94)90085-X

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