Finite size effects and scaling properties of charge fluctuations

TL;DR

This paper introduces an effective model to study finite volume effects on charge fluctuations, analyzing their impact near critical points and phase transitions, with detailed insights into kurtosis behavior along freeze-out conditions.

Contribution

It presents a novel effective model that captures finite size effects on charge fluctuations and their scaling near critical phenomena and phase transitions.

Findings

Finite volume effects significantly influence kurtosis near critical points.

Charge fluctuations exhibit distinct scaling behaviors in finite systems.

Implications for experimental measurements of charge fluctuations are discussed.

Abstract

An effective model is introduced to illustrate finite volume effects beyond the usual momentum space constraints. The fluctuations of the chiral order parameter and the net baryon number, as well as their scaling properties, are investigated near a critical point and a first-order transition in finite size systems. The finite volume effects on the kurtosis are shown in detail along the approximate freeze-out line. Several implications of the finite volume in the charge fluctuations are discussed.