Analytic approaches to relativistic hydrodynamics

TL;DR

This paper reviews recent analytic solutions in relativistic hydrodynamics, focusing on exact solutions of second-order conformal hydrodynamics and analytical computation of flow harmonics using deformed Gubser flow, exploring their dependencies.

Contribution

It provides new analytic solutions for second-order conformal hydrodynamics and derives flow harmonic expressions, advancing understanding of relativistic fluid behavior.

Findings

Derived exact solutions for second-order conformal hydrodynamics

Analytically computed flow harmonics $v_n$ and their dependencies

Enhanced understanding of relativistic flow properties

Abstract

I summarize our recent work towards finding and utilizing analytic solutions of relativistic hydrodynamic. In the first part I discuss various exact solutions of the second-order conformal hydrodynamics. In the second part I compute flow harmonics $v_n$ analytically using the anisotropically deformed Gubser flow and discuss its dependence on $n$, $p_T$, viscosity, the chemical potential and the charge.