Thermodynamic limit and semi--intensive quantities

TL;DR

This paper investigates the behavior of semi--intensive quantities in statistical ensembles near the thermodynamic limit, focusing on finite volume corrections and the impact of charge conservation methods.

Contribution

It introduces semi--intensive variables, a new class of quantities that depend on charge conservation implementation in the thermodynamic limit.

Findings

Finite volume corrections to probability distributions are calculated.

Semi--intensive variables are shown to differ based on charge conservation approach.

Results clarify the thermodynamic limit behavior of these variables.

Abstract

The properties of statistical ensembles with abelian charges close to the thermodynamic limit are discussed. The finite volume corrections to the probability distributions and particle density moments are calculated. Results are obtained for statistical ensembles with both exact and average charge conservation. A new class of variables (semi--intensive variables) which differ in the thermodynamic limit depending on how charge conservation is implemented in the system is introduced. The thermodynamic limit behavior of these variables is calculated through the next to leading order finite volume corrections to the corresponding probability density distributions.