2012
DOI: 10.1088/0004-637x/756/2/145
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Aspect Ratio Dependence of the Free-Fall Time for Non-Spherical Symmetries

Abstract: We investigate the collapse of non-spherical substructures, such as sheets and filaments, which are ubiquitous in molecular clouds. Such non-spherical substructures collapse homologously in their interiors but are influenced by an edge effect that causes their edges to be preferentially accelerated. We analytically compute the homologous collapse timescales of the interiors of uniform-density, self-gravitating filaments and find that the homologous collapse timescale scales linearly with the aspect ratio. The … Show more

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Cited by 111 publications
(165 citation statements)
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“…The variation in evolutionary age between the two regions may be due to the more localized mass concentration in the Cocoon Nebula, suggesting a higher initial density leading to a faster collapse. Alternatively, it might simply be due to the known enhanced gravitational instability produced at the ends of cylindrical structures (Pon et al 2011(Pon et al , 2012, assuming that the entire IC 5146 might have begun as a single, elongated entity.…”
Section: Discussionmentioning
confidence: 99%
See 1 more Smart Citation
“…The variation in evolutionary age between the two regions may be due to the more localized mass concentration in the Cocoon Nebula, suggesting a higher initial density leading to a faster collapse. Alternatively, it might simply be due to the known enhanced gravitational instability produced at the ends of cylindrical structures (Pon et al 2011(Pon et al , 2012, assuming that the entire IC 5146 might have begun as a single, elongated entity.…”
Section: Discussionmentioning
confidence: 99%
“…Recently, Pon et al (2011Pon et al ( , 2012 showed that filamentary geometry at this scale is the most favorable scenario in which isothermal perturbations grow before global collapse overwhelms the region dynamics, with the filamentary ends most likely to collapse first. In some numerical simulations, nearly all cores that are detected are associated with filaments and most of these eventually form protostars (e.g., Mairs et al 2014).…”
Section: The Northern Streamermentioning
confidence: 99%
“…We can therefore potentially constrain the age of a filament by measuring its velocity gradient. Pon et al (2012) showed that the collapse time of free-falling filaments is τ 1D = √ 2/3 A τ 3D where τ 3D is the spherical free fall time at the same volume density, and A is the aspect ratio of the filament. This equation shows that the collapsing time of a filament can be significantly longer than the standard τ 3D .…”
Section: Dynamical Evolution Scenariosmentioning
confidence: 99%
“…Ostriker 1964;Inutsuka & Miyama 1992;Fischera & Martin 2012;Pon, Johnstone & Heitsch 2011;Pon et al 2012;Heitsch 2013). Magnetic fields have generally been found to have a positive effect on filament stability (Nagasawa 1987;Fiege & Pudritz 2000;Heitsch 2013;Tomisaka 2014).…”
Section: Properties Of Filamentsmentioning
confidence: 99%