Steady-state Hall Elsasser number, as a function of location in the disk, for the fiducial model described in Sect. 5. The pink hatched area corresponds to the MRI-active layer. The solid black lines indicate where χ = 1. Everywhere between these lines, χ > 1. The dashed white lines correspond to the surfaces z = 1 H_gas, z = 2 H_gas, z = 3 H_gas, and z = 4 H_gas, from bottom to top, respectively.