Rotation in an exact hydro model

TL;DR

This paper presents an exact solution to a fluid dynamical model of heavy ion reactions, analyzing how rotation diminishes due to system expansion, with initial conditions based on realistic 3+1D calculations at TeV energies, highlighting Kelvin Helmholtz Instability effects.

Contribution

It provides an exact extended solution for the fluid dynamical model of heavy ion reactions, incorporating rotation and instability effects, with initial parameters derived from realistic simulations.

Findings

Rotation is enhanced by Kelvin Helmholtz Instability.

Rotation slows down due to longitudinal and transverse expansion.

Model parameters are set from realistic 3+1D fluid dynamical calculations.

Abstract

We study an exact and extended solution of the fluid dynamical model of heavy ion reactions, and estimate the rate of slowing down of the rotation due to the longitudinal and transverse expansion of the system. The initial state parameters of the model are set on the basis of a realistic 3+1D fluid dynamical calculation at TeV energies, where the rotation is enhanced by the build up of the Kelvin Helmholtz Instability in the flow.