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 Müller-Israel-Stewart-type hydrodynamics code, MUSIC, which is commonly used to simulate heavy-ion collisions.

J. Bhambure, A. Mazeliauskas, J.-F. Paquet, R. Singh, M. Singh, D. Teaney, F. Zhou, „Relativistic
Viscous Hydrodynamics in the Density Frame: Numerical Tests and Comparisons“,
13. Dez. 2024, arXiv:2412.10303 (2024).

https://arxiv.org/abs/2412.10303

Related to Project A01