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Growth of perturbations in homogeneous collisionless collapse: discs versus spheres

Landry, Walter and Shapiro, Stuart L. and Teukolsky, Saul A. (1995) Growth of perturbations in homogeneous collisionless collapse: discs versus spheres. Monthly Notices of the Royal Astronomical Society, 276 (3). pp. 847-858. ISSN 0035-8711. doi:10.1093/mnras/276.3.847. https://resolver.caltech.edu/CaltechAUTHORS:20180801-082944796

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Abstract

We study the growth of radial perturbations during the collapse of homogeneous spheres and discs. We model the sphere by concentric shells and the disc by concentric rings, initially at rest and allowed to move only radially. Our numerical experiments show only moderate growth in spheres but rapid growth in discs, leading to pronounced ring formation. For a sphere, the perturbations can be treated analytically as in cosmology. The growth rate is that of a power-law in time and independent of scale. For discs, we present an analytic solution for the perturbations using a suitable mode expansion. Shorter wavelength perturbations grow faster, exhibiting exponential growth at early times.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1093/mnras/276.3.847DOIArticle
ORCID:
AuthorORCID
Shapiro, Stuart L.0000-0002-3263-7386
Teukolsky, Saul A.0000-0001-9765-4526
Additional Information:© 1995 Royal Astronomical Society. Provided by the NASA Astrophysics Data System. Accepted 1995 April 26. Received 1995 March 7; in original form 1994 November 21. This research was supported in part by NSF grants AST 91-19475 and PHY 94-08378 and NASA grant NAGW-2364 at Cornell University.
Funders:
Funding AgencyGrant Number
NSFAST 91-19475
NSFPHY 94-08378
NASANAGW-2364
Subject Keywords:instabilities - methods: numerical - galaxies: formation
Issue or Number:3
DOI:10.1093/mnras/276.3.847
Record Number:CaltechAUTHORS:20180801-082944796
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20180801-082944796
Official Citation:Walter Landry, Stuart L. Shapiro, Saul A. Teukolsky; Growth of perturbations in homogeneous collisionless collapse: discs versus spheres, Monthly Notices of the Royal Astronomical Society, Volume 276, Issue 3, 1 October 1995, Pages 847–858, https://doi.org/10.1093/mnras/276.3.847
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:88424
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:01 Aug 2018 16:16
Last Modified:16 Nov 2021 00:26

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