Phase Transition in a Self--Gravitating Planar Gas

TL;DR

This paper investigates a two-dimensional self-gravitating gas, revealing a phase transition between homogeneous and clumped states, and suggests the system exhibits fractal characteristics at different temperatures.

Contribution

It introduces the concept of a phase transition in a 2D self-gravitating gas and proposes fractal behavior as a key feature of the system.

Findings

Identification of a phase transition between homogeneous and clumped phases

High temperature homogeneous phase and low temperature clumped phase

System exhibits fractal behavior at different temperatures

Abstract

We consider a gas of Newtonian self-gravitating particles in two-dimensional space, finding a phase transition, with a high temperature homogeneous phase and a low temperature clumped one. We argue that the system is described in terms of a gas with fractal behaviour.