  I briefly describe how mean-field glass models can be extended to the case in
which the bath and friction are non-thermal, thus promoting them to granular
matter mean-field caricatures. Solving their dynamics one discovers a
temperature with a thermodynamic meaning associated with the slow
rearrangements, even though there is no thermodynamic temperature at level of
fast dynamics. This temperature can be shown to match the one defined on the
basis of a flat measure over blocked (jammed) configurations. Numerical checks
on realistic systems suggest that these features may be valid in general.
