The CITS is planning a program in plasma turbulence. The focus problem of interest is the Hall thruster, a device used by the Russians for satellite station keeping and currently being considered for several US satellites, including the Teledesic constellation. In order to function efficiently, Hall thrusters require a broadband instability in an electromagnetic field reminiscent of instabilities seen in the turbulence of ordinary fluids. Currently, Hall thrusters can be made with fairly high specific impulse (up to 2,000 s) and thrust efficiency (near 50%), but only at very low thrust levels (20-80mN). Stanford's Plasma Dynamics Lab (PDL) has designed, built, and is currently testing a variety of Hall thruster configurations. However, only a rudimentary understanding of the unsteady behavior of Hall thrusters is currently known. Well-resolved simulations of turbulent plasmas at the CITS will help us better understand this important fundamental phenomenon.