Code C# for chaos analysis of relativistic many-body systems

TL;DR

This paper introduces a C# .NET library for chaos analysis of relativistic many-body systems, implementing Lyapunov exponents and fragmentation levels, with applications to nuclear and galactic models.

Contribution

The work provides a novel object-oriented C# library for chaos analysis, including new implementations of fragmentation level and virial coefficient for stability studies.

Findings

The library successfully computes Lyapunov exponents and fragmentation levels.

Application to nuclear and galactic models demonstrates practical utility.

Discussion of virial coefficient for stability offers new insights.

Abstract

This work presents a new Microsoft Visual C# .NET code library, conceived as a general object oriented solution for chaos analysis of three-dimensional, relativistic many-body systems. In this context, we implemented the Lyapunov exponent and the "fragmentation level" (defined using the graph theory and the Shannon entropy). Inspired by existing studies on billiard nuclear models and clusters of galaxies, we tried to apply the virial theorem for a simplified many-body system composed by nucleons. A possible application of the "virial coefficient" to the stability analysis of chaotic systems is also discussed.