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Local stability of a gravitating filament: a dispersion relation

Freundlich, J and Jog, CJ and Combes, F (2014) Local stability of a gravitating filament: a dispersion relation. In: Astronomy and Astrophysics, 564 (A7).

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Official URL: http://dx.doi.org/10.1051/0004-6361/201323325

Abstract

Filamentary structures are ubiquitous in astrophysics and are observed at various scales. On a cosmological scale, matter is usually distributed along filaments, and filaments are also typical features of the interstellar medium. Within a cosmic filament, matter can contract and form galaxies, whereas an interstellar gas filament can clump into a series of bead-like structures that can then turn into stars. To investigate the growth of such instabilities, we derive a local dispersion relation for an idealized self-gravitating filament and study some of its properties. Our idealized picture consists of an infinite self-gravitating and rotating cylinder with pressure and density related by a polytropic equation of state. We assume no specific density distribution, treat matter as a fluid, and use hydrodynamics to derive the linearized equations that govern the local perturbations. We obtain a dispersion relation for axisymmetric perturbations and study its properties in the (kR, kz) phase space, where kR and kz are the radial and longitudinal wavenumbers, respectively. While the boundary between the stable and unstable regimes is symmetrical in kR and kz and analogous to the Jeans criterion, the most unstable mode displays an asymmetry that could constrain the shape of the structures that form within the filament. Here the results are applied to a fiducial interstellar filament, but could be extended for other astrophysical systems, such as cosmological filaments and tidal tails.

Item Type: Journal Article
Additional Information: Copyright for this article belongs to the the European Southern Observatory (ESO)
Keywords: gravitation;hydrodynamics;instabilities;large-scale structure of Universe;ISM: structure
Department/Centre: Division of Physical & Mathematical Sciences > Physics
Depositing User: ePrints Administrator ePrints@IISc
Date Deposited: 27 May 2014 06:52
Last Modified: 27 May 2014 07:13
URI: http://eprints.iisc.ac.in/id/eprint/49154

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