Abstract

One-dimensional similarity solutions for a collapsing, homogeneous, infinitely long cylinder that is subject to ambipolar diffusion are given. There is an analytical solution with infinite density being reached after 4.3 free-fall times. In that case the magnetic field strength B z on the axis scales like with density ρ . The analytical solution proves “attractive”. Even if the initial conditions depart slightly from those of the analytical solution, that solution is nevertheless approached through damped oscillations.

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