Revision of the fractional exclusion statistics

TL;DR

This paper revises the concept of fractional exclusion statistics (FES), emphasizing the need for parameter adjustments when particle species are subdivided to maintain thermodynamic consistency.

Contribution

It introduces a new framework for FES parameters that ensures thermodynamic consistency when particle species are subdivided.

Findings

Derived general equations for FES parameters

Highlighted the importance of parameter adjustment for consistency

Provided a simple model illustrating the concept

Abstract

I discuss the concept of fractional exclusion statistics (FES) and I show that in order to preserve the thermodynamic consistency of the formalism, the exclusion statistics parameters should change if the species of particles in the system are divided into subspecies. Using a simple and intuitive model I deduce the general equations that have to be obeyed by the exlcusion statistics parameters in any FES system.