Asymmetric binaries and hierarchy of states in self-gravitating systems

TL;DR

This paper extends the analysis of rotating self-gravitating gases by exploring asymmetric binary formations and introducing new order parameters to classify equilibrium states, enhancing understanding of their thermodynamics.

Contribution

It provides a detailed study of asymmetric binary configurations and develops a new set of order parameters for classifying equilibrium states in self-gravitating systems.

Findings

Identification of asymmetric binary equilibrium shapes

Introduction of a family of order parameters for classification

Enhanced understanding of thermodynamics in self-gravitating gases

Abstract

We complete the analysis of the equilibrium shapes of rotating self-gravitating gases initiated in Phys. Rev. Lett. 89 031101 (2002) (cond-mat/0202140) by studying the formation and thermodynamics of asymmetric binaries and by introducing a family of order parameters to classify the possible equilibrium states.