  This work investigates jammed granular matter under conditions that produce
heterogeneous mass distributions on a mesoscopic scale. We consider a system of
identical disks that are confined to a narrow channel, open at one end and
closed off at the other end. The disks are jammed by the local pressure in a
gravitational field or centrifuge. All surfaces are hard and frictionless. We
calculate the profiles of pressure, mass density, and entropy density on a
mesoscopic length scale under the assumption that the jammed states are
produced by random agitations of uniform intensity along the channel. These
profiles exhibit trends and features governed by the balancing of
position-dependent forces and potential energies. The analysis employs a method
of configurational statistics that uses interlinking two-disk tiles as the
fundamental degrees of freedom. Configurational statistics weighs the
probabilities of tiles according to competing potential energies associated
with gravity and centrifugation. Amendments account for the effects of the
marginal stability of some tiles due to competing forces.
