Local virial relation for self-gravitating system

Local virial relation for self-gravitating system

We demonstrate that the quasi-equilibrium state in a self-gravitating N-body system after cold collapse is uniquely characterized by the local virial relation using numerical simulations. Conversely, assuming the constant local virial ratio and Jeans equation for a spherically steady-state system, w...

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Veröffentlicht in:Physical review. E, Statistical, nonlinear, and soft matter physics Statistical, nonlinear, and soft matter physics, 2006-04, Vol.73 (4 Pt 2), p.046112-046112, Article 046112
Hauptverfasser: Iguchi, Osamu, Sota, Yasuhide, Nakamichi, Akika, Morikawa, Masahiro
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container_issue 4 Pt 2
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container_title Physical review. E, Statistical, nonlinear, and soft matter physics
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creator Iguchi, Osamu
Sota, Yasuhide
Nakamichi, Akika
Morikawa, Masahiro
description We demonstrate that the quasi-equilibrium state in a self-gravitating N-body system after cold collapse is uniquely characterized by the local virial relation using numerical simulations. Conversely, assuming the constant local virial ratio and Jeans equation for a spherically steady-state system, we investigate the full solution space of the problem under the constant anisotropy parameter and obtain some relevant solutions. Specifically, the local virial relation always provides a solution which has a power-law density profile in both the asymptotic regions r --> 0 and infinity. This type of solution is commonly observed in many numerical simulations. Only the anisotropic velocity dispersion controls this asymptotic behavior of density profile.
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title Local virial relation for self-gravitating system
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