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Electrical conductivity of dispersions: from dry foams to dilute suspensions

K Feitosa et al 2005 J. Phys.: Condens. Matter 17 6301-6305   doi: 10.1088/0953-8984/17/41/001  Help

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K Feitosa1, S Marze2, A Saint-Jalmes2 and D J Durian1
1 Department of Physics and Astronomy, University of Pennsylvania, Philadelphia, PA 19104-6396, USA
2 Laboratoire de Physique des Solides, Université Paris-Sud, 91405 Orsay, France
E-mail: djdurian@physics.upenn.edu

Abstract. We present new data for the electrical conductivity of foams in which the liquid fraction ranges from two to seventy per cent. We compare with a comprehensive collection of prior data, and we model all results with simple empirical formulae. We achieve a unified description that applies equally to dry foams and emulsions, where the droplets are highly compressed, as well as to dilute suspensions of spherical particles, where the particle separation is large. In the former limit, Lemlich's result is recovered; in the latter limit, Maxwell's result is recovered.

Print publication: Issue 41 (19 October 2005)
Received 18 July 2005
Published 30 September 2005

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