Maximum entropy freezeout of hydrodynamic fluctuations

TL;DR

This paper introduces a maximum entropy-based method to freeze out fluctuations in heavy-ion collisions, linking correlators to deviations from ideal gas behavior and enabling the determination of key parameters near the QCD critical point.

Contribution

It presents a novel maximum entropy framework for freezeout of fluctuations, connecting correlators to deviations and estimating parameters near the QCD critical point.

Findings

Derived a direct relationship between correlators and fluctuations.

Provided a method to determine unknown parameters near the QCD critical point.

Expressed results in terms of the QCD equation of state.

Abstract

We propose a general approach to freezing out fluctuations in heavy-ion collisions using the principle of maximum entropy. We find the results naturally expressed as a direct relationship between the irreducible relative correlators quantifying the deviations of hydrodynamic as well as hadron gas fluctuations from the ideal hadron gas baseline. The method also allows us to determine heretofore unknown parameters crucial for the freezeout of fluctuations near the QCD critical point in terms of the QCD equation of state.