Average surface density (top panel) and cumulative gravitational torque (bottom panel; the gravitational torque density integrated from ﹩r^{\prime} =0﹩ to ﹩r^{\prime} =r﹩, normalized by the accretion rate onto the binary) profiles corresponding to binaries with 0.1 ≤ q ≤ 1 accreting from ﹩{ \mathcal M }=30﹩ disks. Each profile was averaged over the final 500 binary orbits of each simulation.