Electrical properties of granular matter:
From ``Branly effect'' to intermittency
E. Falcon and B. Castaing
Laboratoire de Physique, École Normale
Supérieure de Lyon, 46 allée d'Italie, 69364 Lyon cedex
07, France
Reference:
in the
proceedings of the Fith International Conference on the Micromechanics
of Granular Media, Powders and
Grains 2005,
pp. 323 - 327, R.García-Rojo, H.J.
Herrmann
& S. McNamara, Eds. A.A.Balkema, Rotterdam, 2005.
ISBN: 041538348X
Abstract:
Electrical phenomena in granular materials related
to an electrical conduction transition (known as the Branly effect)
have been interpreted in many different ways but without a clear
demonstration. We
report the observation of electrical transport through a chain of
oxidized
metallic beads. A transition from an insulating to a conducting state
is
observed as the applied current is increased. We show that this
transition
comes from an electro-thermal coupling in the vicinity of the
microcontacts
between beads where microwelding occurs. An implicit determination
of
the microcontact temperature is obtained. In a metallic powder,
temporal
fluctuations of resistance are additionally observed, and are studied
with
the tools used in hydrodynamic turbulence. We show that this electric
noise
displays scale invariance (over 4 decades in time) and intermittency,
which
trace back to thermal expansion locally creating or destroying
electrical
contacts. As in the case of hydrodynamic turbulence, the noise
properties
are well described by a multiplicative cascade model.
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