On the dynamical anomalies in numerical simulations of selfgravitating systems

TL;DR

This paper explores the thermodynamic limit for self-gravitating systems based on self-similarity, explaining how this limit accounts for dynamical anomalies observed in numerical simulations.

Contribution

It introduces a specific thermodynamic limit for self-gravitating systems that explains the origin of dynamical anomalies in simulations.

Findings

Defined a new thermodynamic limit for self-gravitating systems.

Linked the thermodynamic limit to the explanation of dynamical anomalies.

Provided a theoretical basis for observed simulation irregularities.

Abstract

According to self-similarity hypothesis, the thermodynamic limit could be defined from the scaling laws for the system self-similarity by using the microcanonical ensemble. This analysis for selfgravitating systems yields the following thermodynamic limit: send N to infinity, keeping constant E/N^{(7/3)} and LN^{(1/3)}, in which is ensured the extensivity of the Boltzmann entropy S_{B}=lnW(E,N). It is shown how the consideration of this thermodynamic limit allows us to explain the origin of dynamical anomalies in numerical simulations of selfgravitating systems.