Stationary state in N-body System with power law interaction

Details Stationary state in N-body System with power law interaction Stationary state in N-body System with power law interaction

2001-12-31

arxiv.org/abs/astro-ph/0112564v2

Phys.Rev. E66 (2002) 051112

Astronomy and Astrophysics

Astrophysics

8 pages including 2 eps figures, RevTex, Revised version, minor changes

Scientific paper

10.1103/PhysRevE.66.051112

Many self-gravitating systems often show scaling properties in their mass density, system size, velocities and so on. In order to clarify the origin of these scaling properties, we consider the stationary state of N-body system with inverse power law interaction. As a simple case, we consider the self-similar stationary solution in the collisionless Boltzmann equation with power law potential and investigate its stability in terms of a linear symplectic perturbation. The stable scaling solutions obtained are characterized by the power index of the potential and the virial ratio of the initial state. It is suggested in general that the nonextensive system has much various stable scaling solutions than those in the extensive system.

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