Causal and Stable First-Order Relativistic Hydrodynamical Simulations of the Quark-Gluon Plasma
Abstract
Relativistic viscous hydrodynamics is known to describe the evolution of the hot and dense quark-gluon plasma produced in heavy-ion collisions. However, understanding such fluids has been made difficult by the lack of a direct calculation of the hydrodynamic limit of QCD and the fact that only few formulations of relativistic viscous hydrodynamics are known to be causal and stable. Thus, extensive numerical calculations of fluid models under the conditions of nuclear collisions are necessary. In this poster, we present results for the first numerical simulations of the new formulation of relativistic viscous hydrodynamics proposed by Bemfica, Disconzi, Noronha, and Kovtun (BDNK) using a high performance implementation of the Smoothed Particle Hydrodynamics algorithm. BDNK is the most general framework of relativistic viscous hydrodynamics whose energy-momentum tensor contains derivatives of the hydrodynamic fields of order no higher than first, while still being causal and stable. As such, this framework is highly attractive as it requires very few assumptions about the fluid. We focus our simulations on conformal fluids undergoing 2+1 (boost invariant) dimensional flow, which is known to resemble conditions present in heavy-ion collisions at very large collision energies.
- Publication:
-
APS Division of Nuclear Physics Meeting Abstracts
- Pub Date:
- 2020
- Bibcode:
- 2020APS..DNP.PA016J