Quasi-stationary states and incomplete violent relaxation in systems with long-range interactions

TL;DR

This paper explores the nature of quasi-stationary states in long-range interacting systems, focusing on incomplete violent relaxation and the challenges in predicting these states using the Vlasov equation.

Contribution

It provides a detailed discussion on the characterization of QSS and explains the difficulties in predicting their properties in systems with long-range interactions.

Findings

QSS have non-Boltzmannian distributions.

Incomplete violent relaxation affects the formation of QSS.

Predicting QSS remains a complex challenge.

Abstract

We discuss the nature of quasi-stationary states (QSS) with non-Boltzmannian distribution in systems with long-range interactions in relation with a process of incomplete violent relaxation based on the Vlasov equation. We discuss several attempts to characterize these QSS and explain why their prediction is difficult in general.