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Electrical transport in granular media:
From Branly effect to intermittency!

DC Branly effect

Discovered in 1890 by Edouard Branly, "the coherer effect" or "Branly effect" is an electrical transition from an insulating to a conductive state of an oxidized metallic powder when an electromagnetic wave is emitted in its vicinity.  Such a wave detector was at the origin of the first wireless radio transmissions at the end of the 19th century.  However, the physical origin of this phenomenon still remains not well understood.  A similar phenomenon of conduction transition is also observed when a DC voltage is directly applied to the sample and exceeds a certain value (we will call it herafter "DC Branly effect"). 

At the Physics Lab. of the Ecole Normale Supérieure de Lyon, various experiments (1D or 2D network of balls, and metallic powder) were performed in order to understand the origin of this electrical conduction transition.  These studies were rewarded by the 2004 Branly Prize.  All our experiments are performed in DC, the influence of the wave frequency will be undertaken later on. 

chain

By means of a model experiment with a chain of metal balls, we show, for the first time, that the mechanism of the electrical conduction transition (DC Branly effect) results from the local heating of the microcontacts between each ball where microwelding occurs [1, 3, 4, 5, 7].  The increase in temperature reached 1050°C for an applied voltage as low as 0.4 V!  The electrical conduction transition is connected to the local properties of the contact between two grains.  It constitutes a first step towards more realistic granular media such as a 2D network of ordered balls (including the disorder of the contacts), or a metal powder sample (including the disorder of position).



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Electrical noise & intermittency

We apply a DC voltage to a metal powder.  Under certain conditions, the temporal evolution of the current is then very noised.  We show that this electric noise has interesting properties of scale invariance (over 4 decades in time) and of intermittency which come from thermal expansions locally creating or destroying the electrical contacts [2, 6, 7, 8].  These expansions can take place on various scales (size of the grain, size of force network, size of the sample):  The small scales depend on the large ones with similarities and differences with hydrodynamic turbulence.  These astonishing phenomena of self-similarity are connected to the collective effects of the granular matter.

PoudreA PoudreB PoudreC

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Réferences

International articles :
[1] E. Falcon,  B. Castaing and M. Creyssels, European Physical Journal B 38, 475 - 483 (2004)
"Nonlinear electrical conductivity in a 1D granular medium"

[2] E. Falcon, B. Castaing and C. Laroche, Europhysics Letters, 65, 186 - 192 (2004)
''Turbulent'' electrical transport in Copper powders 

[3] E. Falcon and  B. Castaing,  American Journal of Physics 73, 302 - 307 (2005)
"Electrical conductivity in granular media and Branly's coherer: A simple experiment"
Popularization articles:
[4] E. Falcon and B. Castaing, Pour La Science 340, 58 - 64, Février 2006 (in french)
L'effet Branly livre ses secrets

[5] E. Falcon and B. Castaing, Bulletin de la Société Française de Physique, 148, 9 - 12 (in french)
"Transport électrique dans les milieux granulaires : L'effet Branly continu"

[6] E. Falcon, B. Castaing and M. Creyssels Bulletin de la Société Française de Physique, 149, 6 - 9 (2005) (in french)
"Transport électrique dans les milieux granulaires : Bruit et Intermittence"
Proceedings:

[7] E. Falcon & B. Castaing, in Powders & Grains 2005, R.García-Rojo, H.J. Herrmann & S. McNamara, Eds. A.A.Balkema, pp. 323 - 327 (2005)
"Electrical properties of granular matter: From "Branly effect" to intermittency"

[8] M. Creyssels, E. Falcon & B. Castaing, in Ribotta R. (Ed.), Rencontre du Non-Linéaire 2005, Non Linéaire Pub., Orsay, pp. 55 - 60 (2005) (in french).
  Bruit et intermittence du transport électrique dans les milieux granulaires
        

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