The conductivity of a foam

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

doi:10.1088/0953-8984/8/34/002

The conductivity of a foam

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

Research output: Contribution to journal › Letter › Academic › peer-review

74 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 language	English
Pages (from-to)	L475-L482
Number of pages	8
Journal	Journal of Physics: Condensed Matter
Volume	8
Issue number	34
DOIs	https://doi.org/10.1088/0953-8984/8/34/002
Publication status	Published - 19 Aug 1996
Externally published	Yes

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Cite this

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title = "The conductivity of a foam",

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%.",

author = "R. Phelan and D. Weaire and E.A.J.F. Peters and G. Verbist",

year = "1996",

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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

SN - 0953-8984

VL - 8

SP - L475-L482

JO - Journal of Physics: Condensed Matter

JF - Journal of Physics: Condensed Matter

IS - 34

ER -

The conductivity of a foam

Abstract

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