Display options
Cite
Iguchi O, Sota Y, Nakamichi A, et al. Local virial relation for self-gravitating system. Phys Rev E Stat Nonlin Soft Matter Phys. 2006;73(4):046112doi: 10.1103/PhysRevE.73.046112.
Iguchi, O., Sota, Y., Nakamichi, A., & Morikawa, M. (2006). Local virial relation for self-gravitating system. Physical review. E, Statistical, nonlinear, and soft matter physics, 73(4), 046112. https://doi.org/10.1103/PhysRevE.73.046112
Iguchi, Osamu, et al. "Local virial relation for self-gravitating system." Physical review. E, Statistical, nonlinear, and soft matter physics vol. 73,4 (2006): 046112. doi: https://doi.org/10.1103/PhysRevE.73.046112
Iguchi O, Sota Y, Nakamichi A, Morikawa M. Local virial relation for self-gravitating system. Phys Rev E Stat Nonlin Soft Matter Phys. 2006 Apr;73(4):046112. doi: 10.1103/PhysRevE.73.046112. Epub 2006 Apr 10. PMID: 16711883.
Copy Download .nbib Format: NLM
Share it on

Phys Rev E Stat Nonlin Soft Matter Phys. 2006 Apr;73(4):046112. doi: 10.1103/PhysRevE.73.046112. Epub 2006 Apr 10.

Local virial relation for self-gravitating system.

Physical review. E, Statistical, nonlinear, and soft matter physics

Osamu Iguchi, Yasuhide Sota, Akika Nakamichi, Masahiro Morikawa

Affiliations

  1. Department of Physics, Ochanomizu University, 2-1-1 Ohtuka, Tokyo 112-8610, Japan. [email protected]

PMID: 16711883 DOI: 10.1103/PhysRevE.73.046112

Abstract

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.

Publication Types