Ambipolar diffusion in self-gravitating filaments
Astrophysikalisches Institut Potsdam, An der Sternwarte 16, 14482 Potsdam, Germany e-mail: HEFroehlich@aip.de
Accepted: 10 May 2005
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 Bz 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.
Key words: magnetohydrodynamics (MHD) / stars: formation / ISM: clouds / ISM: magnetic fields
© ESO, 2005