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arXiv · 1903.03307

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

Tohru Tashiro
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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.

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Tohru Tashiro. 2019-06-15. Dynamics to the universal structure of one-dimensional self-gravitating systems in the quasi-equilibrium state. https://doi.org/10.1016/j.physleta.2019.07.017

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