Self-similar spherical collapse with tidal torque
Name
Zukin-2010-Self-similar spheric.pdf
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1.16 MB
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Adobe PDF
Checksum (MD5)
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Author(s)
Zukin, Phillip Gregory
Bertschinger, Edmund
Date Issued
November 2010
Journal
Physical Review D
Publisher
American Physical Society
Citation
Zukin, Phillip and Edmund Bertschinger. "Self-similar Spherical Collapse with Tidal Torque.” Phys. Rev. D 82, 104044 (2010).© 2010 The American Physical Society.
Version
Final published version
Abstract
N-body simulations have revealed a wealth of information about dark matter halos; however, their results are largely empirical. Using analytic means, we attempt to shed light on simulation results by generalizing the self-similar secondary infall model to include tidal torque. In this first of two papers, we describe our halo formation model and compare our results to empirical mass profiles inspired by N-body simulations. Each halo is determined by four parameters. One parameter sets the mass scale and the other three define how particles within a mass shell are torqued throughout evolution. We choose torque parameters motivated by tidal torque theory and N-body simulations and analytically calculate the structure of the halo in different radial regimes. We find that angular momentum plays an important role in determining the density profile at small radii. For cosmological initial conditions, the density profile on small scales is set by the time rate of change of the angular momentum of particles as well as the halo mass. On intermediate scales, however, ρ∝r-2, while ρ∝r-3 close to the virial radius.
MIT Department
Massachusetts Institute of Technology. Department of Physics
Terms of Use
Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1103/PhysRevD.82.104044
