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We compare transport statistics of elongated incompressible shearing boxesfor different Reynolds and magnetic Prandtl numbers, $Re$ and $Pm$, and aspectratios, $L_z/L_x$. We find that at fixed aspect ratio $L_z/L_x=4$ and $Re =10,000$, the turbulent stresses for $Pm \lesssim 1$ do not show considerablevariation and follow a power law $\sim Pm^{3/2}$ for $Pm > 1$. This isqualitatively consistent with previous results based on net imposed flux andsmall box $L_z/L_x \sim 1$ simulations but the power law exponent is different.The saturated level of stresses, the ratio of Maxwell stress to the magneticenergy and Reynolds to Maxwell stress ratio are roughly invariant as $L_z/L_x$is increased. For cases where the boxes are elongated in both the azimuth andvertical direction, the transport coefficient $\alpha \in [0.1,1.0]$ that is$10-100$ times larger than the case with $L_y/L_x = 2$ and large $L_z/L_x$.Overall, our results suggest that the saturated state of turbulence issensitive to both dissipation coefficients and aspect ratio (both $L_z/L_x$,$L_y/L_x$) motivating further work on this problem.

Transport properties of Keplerian flows in extended local domains with no imposed field