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The application of concepts from equilibrium statistical mechanics toout-of-equilibrium systems has a long history of describing diverse systemsranging from glasses to granular materials. For dissipative jammed systems--particulate grains or droplets-- a key concept is to replace the energyensemble describing conservative systems by the volume-stress ensemble. Here,we test the applicability of the volume-stress ensemble to describe the jammingtransition by comparing the jammed configurations obtained by dynamics withthose averaged over the ensemble as a probe of ergodicity. Agreement betweenboth methods suggests the idea of "thermalization" at a given angoricity andcompactivity. We elucidate the thermodynamic order of the jamming transition byshowing the absence of critical fluctuations in static observables likepressure and volume. The approach allows to calculate observables such as theentropy, volume, pressure, coordination number and distribution of forces tocharacterize the scaling laws near the jamming transition from a statisticalmechanics viewpoint.

Angoricity and compactivity describe the jamming transition in soft particulate matter