Stability Analysis of Magnetocentrifugally Driven Winds from Young Stars

Statistics – Applications

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Scientific paper

We investigate magnetic shear and buoyancy instabilities in protostellar winds by solving a set of linearized ideal MHD equations for modes varying as e({i(mphi ) +k_z z -omega t)}. We derive a general wave equation for each such mode, assuming a cold background flow and magnetic field with axial and toroidal components and arbitrary radial shear. For particular realizations we use power-law cold wind equilibria: rho ~ R(-q) , vec {B} ~ R(-(1+q)/2) , and vec {v} ~ R(-1/2) . For background states with these profiles, we derive the general non-axisymmetric local dispersion relation, and explore its solutions in various limits. We identify nine principal unstable or overstable modes. Our results primarily apply to winds but we also discuss applications in rotating disks. When magnetic fields are predominantly toroidal, as in protostellar winds, the system exhibits axisymmetric fundamental and toroidal resonance modes, and non-axisymmetric toroidal buoyancy and magnetic shearing modes. Winds having a steep field gradient (0.76

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