Fluctuations, correlations and finite volume effects in heavy ion collision

TL;DR

This paper investigates how finite volume effects influence higher moments in heavy ion collisions, demonstrating their universality and comparing different statistical ensembles to better understand observable differences.

Contribution

It provides a rigorous comparison between grand canonical and canonical distributions, highlighting the universal nature of finite volume corrections in heavy ion collision analysis.

Findings

Finite volume corrections are universal across statistical ensembles.

Differences between ensembles persist even in the thermodynamic limit.

Comparison clarifies the role of ensemble choice in interpreting experimental data.

Abstract

Finite volume corrections to higher moments are important observable quantities. They make possible to differentiate between different statistical ensembles even in the thermodynamic limit. It is shown that this property is a universal one. The classical grand canonical distribution is compared to the canonical distribution in the rigorous procedure of approaching the thermodynamic limit.