Ambipolar diffusion in self-gravitating filaments

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...

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Published inAstronomy and astrophysics (Berlin) Vol. 441; no. 1; pp. 153 - 158
Main Author Froehlich, H-E
Format Journal Article
LanguageEnglish
Published Les Ulis EDP Sciences 01.10.2005
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Summary: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 $B_z\propto\rho^{2/3}$ 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.
Bibliography:istex:EE1131D789AF1281F8B4F8B5F29E5952227A3EC3
other:2005A%26A...441..153F
ark:/67375/80W-PDP8NKFH-T
publisher-ID:aa1721-04
ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
ObjectType-Article-2
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ISSN:0004-6361
1432-0746
DOI:10.1051/0004-6361:20041721