Dynamics to the universal structure of one-dimensional self-gravitating systems in the quasi-equilibrium state
Statistical Mechanics
2019-08-27 v2 Astrophysics of Galaxies
Abstract
We investigate the quasi-equilibrium state of one-dimensional self-gravitating systems. If the null virial condition is satisfied at initial time, it is found that the number density around the center of the system at the quasi-equilibrium state has the universality similar to two- and three-dimensional self-gravitating systems reported in \cite{Tashiro16,Tashiro10}. The reason why the null virial condition is sufficient for the universality is unveiled by the envelope equation. We present a phenomenological model to describe the universal structure by using a special Langevin equation with a distinctive random noise to self-gravitating systems. Additionally, we unveil a mechanism which decides the radius of the system.
Keywords
Cite
@article{arxiv.1903.03307,
title = {Dynamics to the universal structure of one-dimensional self-gravitating systems in the quasi-equilibrium state},
author = {Tohru Tashiro},
journal= {arXiv preprint arXiv:1903.03307},
year = {2019}
}