1998
DOI: 10.1093/pasj/50.6.577
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Gravitational Collapse of Filamentary Clouds

Abstract: We consider gravitational collapse of a filamentary cloud under the assumption that it is axisymmetric and uniform along the axis. The pressure is approximated by a polytrope of P = K ρ γ. We found a similarity solution for the collapse when the polytropic index lies in the range 0 < γ < 1. According to the similarity solution, the collapse consits of two phases. In the first phase the filament becomes denser and thiner. The density at the center (ρc) increases in proportion to (t0 – t) −2, where… Show more

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Cited by 47 publications
(49 citation statements)
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“…This free-fall estimate is an upper limit since it neglects any form of support against gravity. A more conservative estimate can be obtained by considering the similarity solution found by Kawachi & Hanawa (1998) for the gravitational collapse of a cylindrical filament supported by a polytropic pressure gradient with γ < ∼ 1. In this model, the radial infall velocity in the outer parts of the collapsing filament is expected to be v inf ∼ 0.6-1 km s −1 when γ = 0.9-0.999 and the gas temperature is ∼10 K (see Figs.…”
Section: Discussion: Contraction and Accretion In B211?mentioning
confidence: 99%
See 1 more Smart Citation
“…This free-fall estimate is an upper limit since it neglects any form of support against gravity. A more conservative estimate can be obtained by considering the similarity solution found by Kawachi & Hanawa (1998) for the gravitational collapse of a cylindrical filament supported by a polytropic pressure gradient with γ < ∼ 1. In this model, the radial infall velocity in the outer parts of the collapsing filament is expected to be v inf ∼ 0.6-1 km s −1 when γ = 0.9-0.999 and the gas temperature is ∼10 K (see Figs.…”
Section: Discussion: Contraction and Accretion In B211?mentioning
confidence: 99%
“…Kawachi & Hanawa (1998) have shown that the outer density profile of such a collapsing cylinder approaches the power law ρ ∝ r − 2 2−γ . For γ values close to unity, the model column density profile thus approaches ρ ∝ r −2 at large radii, which is consistent with the observed profile of the B211 filament.…”
Section: Density and Temperature Structure Of The B211 Filamentmentioning
confidence: 98%
“…This radial structure is reminiscent of many self-gravitating objects such as Bonnor-Ebert spheres. More precisely, filaments that are collapsing in a self-similar manner are expected to present an envelope with a profile ∝r −2/(2−γ) where γ is the adiabatic index A&A 560, A68 (2013) of the gas (Kawachi & Hanawa 1998). As it is likely that selfgravitating filaments are collapsing in a way not too different from, although not identical to, a self-similar collapse, assuming an r −2 profile is thus a well-motivated assumption, both from observations and theory.…”
Section: Characteristics Of the Filamentmentioning
confidence: 99%
“…The same result has been obtained by Viala & Horedt (1974;see their Tables 11−13). It is also interesting to remark that values of γ < 1 are expected for polytropic filaments in gravitational collapse, according to simulations (Kawachi & Hanawa 1998). As a result, the observation of these temperature profiles has been interpreted as a signature of instability.…”
Section: Equilibrium Solutions For Nonisothermal Filamentsmentioning
confidence: 69%