Local virial relation for self-gravitating system

Abstract

We demonstrate that the quasi-equilibrium state in self-gravitating $N$-body system after cold collapse are uniquely characterized by the local virial relation using numerical simulations. Conversely assuming the constant local virial ratio and Jeans equation for spherically steady state system, we investigate the full solution space of the problem under the constant anisotropy parameter and obtain some relevant solutions. Especially, the local virial relation always provides a solution which has a power law density profile in both the asymptotic regions $r\to 0$ and $\infty$. This type of solutions observed commonly in many numerical simulations. Only the anisotropic velocity dispersion controls this asymptotic behavior of density profile.

9 pages, 15 eps figures, RevTex, submitted to PRE

References in corpus (6)

• The Phase-Space Density Profiles of Cold Dark Matter Halos
• A universal density slope - velocity anisotropy relation for relaxed structures
• Dynamical insight into dark-matter haloes
• GRAPE-5: A Special-Purpose Computer for N-body Simulation
• Hypervirial Models of Stellar Systems
• Universal Non-Gaussian Velocity Distribution in Violent Gravitational Processes

Cited by in corpus (8)

• CLASH-VLT: The mass, velocity-anisotropy, and pseudo-phase-space density profiles of the z=0.44 galaxy cluster MACS 1206.2-0847
• Dynamical models with a general anisotropy profile
• Gravitational Dynamics of an Infinite Shuffled Lattice of Particles
• Dynamics of finite and infinite self-gravitating systems with cold quasi-uniform initial conditions
• The double-power approach to spherically symmetric astrophysical systems
• The Doubloon Models of Dark Haloes
• Gravitational Fugacity as the seed of self-organized violent relaxaton process toward Local Virial relation
• Scaling Relations for Collision-less Dark Matter Turbulence