In astrophysics, " ambipolar diffusion " refers specifically to the decoupling of neutral particles from plasma, for example in the initial stage of star formation.
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There is sufficient magnetic field in the ISM to create such high magnetic fields indeed, so much so that the theory of ambipolar diffusion has to be invoked to reduce the field in normal stars.
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In plasma physics, ambipolar diffusion is closely related to the concept of plasmas, the forces acting on the ions are different from those acting on the electrons, so naively one would expect one species to be transported faster than the other, whether by diffusion or convection or some other process.