Relativistic Viscous Hydrodynamics in the Density Frame: Numerical Tests and Comparisons
Abstract
We conduct a numerical study of relativistic viscous fluid dynamics in the Density Frame for one-dimensional fluid flows. The Density Frame is a formulation of relativistic viscous hydrodynamics that is first-order in time, requires no auxiliary fields, and has no non-hydrodynamic modes. We compare our results to QCD kinetic theory simulations and find excellent agreement within the regime of applicability of hydrodynamics. Additionally, the Density Frame results remain well-behaved and robust near the boundary of applicability. We also compare our findings to the second-order-in-time hydrodynamic theory developed by Bemfica, Disconzi, Noronha, and Kovtun (BDNK) and a well-known M\"uller-Israel-Stewart-type hydrodynamics code, MUSIC, which is commonly used to simulate heavy-ion collisions.
Cite
@article{arxiv.2412.10303,
title = {Relativistic Viscous Hydrodynamics in the Density Frame: Numerical Tests and Comparisons},
author = {Jay Bhambure and Aleksas Mazeliauskas and Jean-Francois Paquet and Rajeev Singh and Mayank Singh and Derek Teaney and Fabian Zhou},
journal= {arXiv preprint arXiv:2412.10303},
year = {2025}
}
Comments
28 pages, 11 figures