Topology studies of hydrodynamics using two particle correlation analysis

TL;DR

This paper investigates how initial fluctuations in relativistic heavy ion collisions influence the resulting particle correlations, revealing persistent topological features that reflect the initial conditions and collective dynamics.

Contribution

It demonstrates that non-smooth initial conditions produce observable topological features in particle correlations after hydrodynamic evolution.

Findings

Long-range correlations in longitudinal direction

Double peak structures in azimuthal correlations

Initial condition features survive hydrodynamic evolution

Abstract

The effects of fluctuating initial conditions are studied in the context of relativistic heavy ion collisions where a rapidly evolving system is formed. Two particle correlation analysis is applied to events generated with the NEXSPHERIO hydrodynamic code, starting with fluctuating non-smooth initial conditions (IC). Results show that the non-smoothness in the IC survives the hydro-evolution and can be seen as topological features of the angular correlation function of the particles emerging from the evolving system. A long range correlation is observed in the longitudinal direction and in the azimuthal direction a double peak structure is observed in the opposite direction to the trigger particle. This analysis provides clear evidence that these are signatures of the combined effect of tubular structures present in the IC and the proceeding collective dynamics of the hot and dense medium.