The conductivity of a foam

R. Phelan, D. Weaire, E.A.J.F. Peters, G. Verbist

Research output: Contribution to journalLetterAcademicpeer-review

65 Citations (Scopus)

Abstract

We present a new analysis of the dependence of electrical conductivity on liquid fraction for a foam. Ignoring the contribution of the films to both the liquid content and the conductivity, we consider only the network of liquid-filled Plateau borders and the junctions at which they meet. The effect of the junctions is calculated in the form of a vertex correction to both the conductivity and liquid fraction of the network. The correction is sufficient to account for the deviation from the linear formula of Lemlich for liquid fractions up to about 10%.
Original languageEnglish
Pages (from-to)L475-L482
Number of pages8
JournalJournal of Physics : Condensed Matter
Volume8
Issue number34
DOIs
Publication statusPublished - 19 Aug 1996
Externally publishedYes

Cite this

Phelan, R. ; Weaire, D. ; Peters, E.A.J.F. ; Verbist, G. / The conductivity of a foam. In: Journal of Physics : Condensed Matter. 1996 ; Vol. 8, No. 34. pp. L475-L482.
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The conductivity of a foam. / Phelan, R.; Weaire, D.; Peters, E.A.J.F.; Verbist, G.

In: Journal of Physics : Condensed Matter, Vol. 8, No. 34, 19.08.1996, p. L475-L482.

Research output: Contribution to journalLetterAcademicpeer-review

TY - JOUR

T1 - The conductivity of a foam

AU - Phelan, R.

AU - Weaire, D.

AU - Peters, E.A.J.F.

AU - Verbist, G.

PY - 1996/8/19

Y1 - 1996/8/19

N2 - We present a new analysis of the dependence of electrical conductivity on liquid fraction for a foam. Ignoring the contribution of the films to both the liquid content and the conductivity, we consider only the network of liquid-filled Plateau borders and the junctions at which they meet. The effect of the junctions is calculated in the form of a vertex correction to both the conductivity and liquid fraction of the network. The correction is sufficient to account for the deviation from the linear formula of Lemlich for liquid fractions up to about 10%.

AB - We present a new analysis of the dependence of electrical conductivity on liquid fraction for a foam. Ignoring the contribution of the films to both the liquid content and the conductivity, we consider only the network of liquid-filled Plateau borders and the junctions at which they meet. The effect of the junctions is calculated in the form of a vertex correction to both the conductivity and liquid fraction of the network. The correction is sufficient to account for the deviation from the linear formula of Lemlich for liquid fractions up to about 10%.

U2 - 10.1088/0953-8984/8/34/002

DO - 10.1088/0953-8984/8/34/002

M3 - Letter

VL - 8

SP - L475-L482

JO - Journal of Physics : Condensed Matter

JF - Journal of Physics : Condensed Matter

SN - 0953-8984

IS - 34

ER -