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It has recently been established that the evolution of protoplanetary disksis primarily driven by magnetized disk winds, requiring large-scale magneticflux threading the disks. The size of such disks is expected to shrink in time,as opposed to the conventional scenario of viscous expansion. We present thefirst global 2D non-ideal magnetohydrodynamic (MHD) simulations ofprotoplanetary disks that are truncated in the outer radius, aiming tounderstand the interaction of the disk with the interstellar environment, aswell as global evolution of the disk and magnetic flux. We find that as thesystem relaxes, poloidal magnetic field threading the disk beyond thetruncation radius collapses towards the midplane, leading to rapidreconnection. This process removes a substantial amount of magnetic flux fromthe system, and forms closed poloidal magnetic flux loops encircling the outerdisk in quasi-steady-state. These magnetic flux loops can drive expansionbeyond truncation radius, corresponding to substantial mass loss throughmagnetized disk outflow beyond truncation radius analogous to a combination ofviscous spreading and external photoevaporation. The magnetic flux loopsgradually shrink over time whose rates depend on level of disk magnetizationand external environments, which eventually governs the long-term diskevolution.

Global Non-ideal Magnetohydrodynamic Simulations of Protoplanetary Disks with Outer Truncation