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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