2020
DOI: 10.3847/1538-4365/ab77c2
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The Gravitational Instability of Adiabatic Filaments

Abstract: Filamentary structures, or long and narrow streams of material, arise in many areas of astronomy.Here we investigate the stability of such filaments by performing an eigenmode analysis of adiabatic and polytropic fluid cylinders, which are the cylindrical analog of spherical polytropes. We show that these cylinders are gravitationally unstable to perturbations along the axis of the cylinder below a critical wavenumber k crit ≃ f ew, where k crit is measured relative to the radius of the cylinder. Below this cr… Show more

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Cited by 26 publications
(15 citation statements)
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References 50 publications
(62 reference statements)
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“…More recently we have shown that the late-time fallback rate power-law index (n ∞ ) for a partial TDE-in which the star is not fully disrupted and some of the star remains intact-is ≈ −9/4, and not −5/3 (Coughlin & Nixon 2019). This value is almost completely independent of the mass fraction of the surviving core, µ = M c /M • , where M c is the mass of the surviving core and M • is the mass of the black hole (see Equation 14of Coughlin & Nixon 2019). This arises from the fact that the debris that returns at late times originates asymptotically close to the Hill's radius-the region surrounding the core in which the core's gravity dominates over that of the black hole-of the surviving core, and thus is always affected by the core's gravity for any (non-zero) mass.…”
Section: Introductionmentioning
confidence: 99%
“…More recently we have shown that the late-time fallback rate power-law index (n ∞ ) for a partial TDE-in which the star is not fully disrupted and some of the star remains intact-is ≈ −9/4, and not −5/3 (Coughlin & Nixon 2019). This value is almost completely independent of the mass fraction of the surviving core, µ = M c /M • , where M c is the mass of the surviving core and M • is the mass of the black hole (see Equation 14of Coughlin & Nixon 2019). This arises from the fact that the debris that returns at late times originates asymptotically close to the Hill's radius-the region surrounding the core in which the core's gravity dominates over that of the black hole-of the surviving core, and thus is always affected by the core's gravity for any (non-zero) mass.…”
Section: Introductionmentioning
confidence: 99%
“…The Kepler mission discovered 4723 exoplanet candidates, of which 2302 have been confirmed as bona fide transiting planets (Borucki et al 2010(Borucki et al , 2011Batalha et al 2013;Burke et al 2014;Rowe et al 2015;Mullally et al 2015;Coughlin et al 2016;Thompson et al 2018). More than 70% of Kepler planets have radii 1 R ⊕ ≤ R p ≤ 4R ⊕ , such that super-Earths and mini-Neptunes make up a large fraction of the known exoplanet population 1 .…”
Section: Introductionmentioning
confidence: 99%
“…Hydro-dynamical instabilities (HDI) are known to play a major role in shaping the morphology of the ISM, in particular in modifying the superficial structure of molecular clouds via Rayleigh-Taylor, Kelvin-Helmholtz, and self-gravity instabilities. All these processes can generate long and narrow streams of material (Hunter et al 1997;Coughlin & Nixon 2020). Among them, the Kelvin-Helmholtz instability (KHI) occurs at the interface of two fluids of different densities in relative shear motion and it is characterized by a wavelike periodic structure.…”
Section: Do the Iras 4a Fingers Trace Kelvin-helmholtz Instabilities?mentioning
confidence: 99%