Year: 2017
Type: article
Abstract: Exploring a variety of closing schemes to the infinite hierarchy of momentum moments of the exactly solvable Boltzmann equation for systems undergoing Gubser flow, we study the precision with which the resulting hydrodynamic equations reproduce the exact evolution of hydrodynamic moments of the distribution function. We find that anisotropic hydrodynamics, obtained by expanding the distribution function around a dynamically evolving locally anisotropic background whose evolution is matched to exactly reproduce the macroscopic pressure anisotropy caused by the different longitudinal and transverse expansion rates in Gubser flow, provides the most accurate macroscopic description of the microscopic kinetic evolution. This confirms a similar earlier finding for Bjorken flow [Moln\'ar et al., Phys. Rev. D 94, 125003 (2016)]. We explain the physics behind this optimal matching procedure and show that one can efficiently correct for a nonoptimized matching choice by adding a residual shear stress to the energy-momentum tensor whose evolution is again determined by the Boltzmann equation.
Source: Physical Review C
Authors: M. Martinez, M. McNelis, U. Heinz
Institutions: North Carolina State University, The Ohio State University
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
Awards: TAS::89 0222::TAS - NUCLEAR THEORY FOR HIGH ENERGY COLLISIONS; PI - ULRICH HEINZ, QCD, HADRONS AND DENSE MATTER, G222768804, NUCLEAR THEORY AT NORTH CAROLINA STATE UNIVERSITY, G3483132240, G51920480, G5212420257, TAS::89 0222::TAS - NUCLEAR THEORY FOR HIGH ENERGY COLLISIONS; PI - ULRICH HEINZ
OpenAlex ID: W2605059342