In the last years\, several groups have described the yield
ing phenomenon in the deformation of amorphous materials from a statistica
l physics point of view. To that end\, coarse-grained approaches to amorph
ous solids were introduced\, the so-called elasto-plastic models (EPM) [1]
.

\nIn this talk\, I will focus on the statistics of avalanches produce
d by the characteristic stick-slip behavior close to the yielding transiti
on\, enquiring into its common properties among different EPM proposals. I
will present in particular the less studied case of EPMs with stress-depe
ndent transition rates for local yielding [2]\, which help us to see how "
dynamical" exponents -those related to the driving speed- may depend on th
e model details while universality stands more robust for "static" critica
l exponents.

\nOn the way\, the current understanding of yielding from
mean-field descriptions and comparison with the depinning transition of a
driven elastic line in random media\, will be briefly discussed. If time p
ermits\, I will further comment on the the strain-rate dependence [3] and
inertial effects [4] on the statistics of avalanches as we depart\, respec
tively\, from the usually addressed quasistatic and overdamped limits.

\n

\nReferences:

\n

\n[1] Deformation and flow of amorphous s
olids: a review of mesoscale elastoplastic models

\nA. Nicolas\, E.E. F
errero\, K. Martens\, J.-L. Barrat

\nRev. Mod. Phys. 90\, 045006 (2018)

\n

\n[2] Static and dynamic critical exponents for elastoplastic
models of amorphous solids

\nE.E. Ferrero and E.A. Jagla\, (unpublished
).

\n

\n[3] Driving Rate Dependence of Avalanche Statistics and Sh
apes at the Yielding Transition

\nC. Liu\, E.E. Ferrero\, F. Puosi\, J.
-L. Barrat\, and K. Martens

\nPhys. Rev. Lett. 116\, 065501 (2016)

\
n

\n[4] Inertia and universality of avalanche statistics: The case of
slowly deformed amorphous solids

\nK. Karimi\, E.E. Ferrero\, J.-L. Ba
rrat

\nPhys. Rev. E 95\, 013003 (2017)