Statistical Mechanics of 1d Self-Gravitating Systems: The Core-Halo Distribution

TL;DR

This paper develops a parameter-free statistical mechanics theory for 1D self-gravitating systems, accurately predicting their final stationary states and providing insights into their relaxation mechanisms relevant to cosmic matter distribution.

Contribution

A new, parameter-free statistical mechanics model for 1D self-gravitating systems that matches simulations and enhances understanding of their relaxation processes.

Findings

The theory accurately predicts the stationary state of the system.

Simulations confirm the theory's predictions.

Provides insights into cosmic matter distribution.

Abstract

We study, using both theory and simulations, a system of self-gravitating sheets. A new statistical mechanics theory - free of any adjustable parameters - is derived to quantitatively predict the final stationary state achieved by this system after the process of collisionless relaxation is completed. The theory shows a very good agreement with the numerical simulations. The model sheds new light on the general mechanism of relaxation of self-gravitating systems and may help us to understand cold matter distribution in the Universe.