Incollection,

Stochastic dynamics of a sheared granular medium

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Abstract Book of the XXIII IUPAP International Conference on Statistical Physics, Genova, Italy, (9-13 July 2007)

Abstract

Granular matter shares many properties with fluids and solids, however exhibits as well peculiar features originating from the non-equilibrium and dissipative character of grain dynamics. In recent experiments on granular shearing, we have shown that the quasi-solid (stick-slip) phase has different statistical signatures from the Gaussian quasi-liquid (sliding) phase, bearing the mark of what is sometimes called universal distribution. We have also shown that the shear dynamics can be successfully described in a quantitative way by a stochastic equation. An interesting feature is that the equation is similar to the one describing widely different phenomena like the Barkhausen noise in ferromagnetic hysteresis cycles. Because of the stochastic nature of the forces in the granular medium, there is indeed a correspondence in the statistical properties between shear rate fluctuations in granular media and domain wall velocities in ferromagnets. Available data on other stochastic processes, such as the statistical properties of friction in solid-on-solid systems suggest that a large class of driven instabilities can be described in terms of similar general mechanisms.

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