Higher order anisotropies in hydrodynamics

TL;DR

This paper explores how higher order anisotropies in flow coefficients and correlation radii can be modeled using analytic hydrodynamic solutions, focusing on their evolution and interplay of asymmetries.

Contribution

It introduces analytic hydrodynamic descriptions for higher order anisotropies and examines their time evolution and mixing effects.

Findings

Higher order flow coefficients can be described analytically.

3rd order oscillations in correlation radii are explained.

Asymmetry coefficients evolve over time and interact in complex ways.

Abstract

In the last years it has been revealed that if measuring relative to higher order event planes $\Psi_n$, higher order flow coefficients $v_n$ for $n>2$ can be measured. It also turned out that Bose-Einstein (HBT) correlation radii also show 3rd order oscillations if measured versus the third order event plane $\Psi_3$. In this paper we investigate how these observables can be described via analytic hydro solutions and hydro parameterizations. We also investigate the time evolution of asymmetry coefficients and the mixing of velocity field asymmetries and density asymmetries.