Dynamics to the universal structure of one-dimensional self-gravitating systems in the quasi-equilibrium state

Autor: Tashiro, Tohru
Rok vydání: 2019
Předmět:
Zdroj: Physics Letters A, Volume 383, Issue 26 (2019) 125829
Druh dokumentu: Working Paper
DOI: 10.1016/j.physleta.2019.07.017
Popis: 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.
Databáze: arXiv