Can one construct a thermodynamics for compact, slowly moving powders and g
rains? A few years ago, Edwards proposed a possible step in this direction,
raising the fascinating perspective that such systems have a statistical m
echanics of their own, different from that of Maxwell, Boltzmann, and Gibbs
, allowing us to have some information while still ignoring dynamic details
. Recent developments in the theory of glasses have come to confirm these i
deas within mean field. in order to go beyond, we explicitly generate Edwar
ds' measure in a 3D model. Comparison of the results with the irreversible
compaction data shows very good agreement. The present framework immediatel
y suggests new experimental checks.