Scaling Relations in Two-Dimensional Relativistic Hydrodynamic Turbulence
High Energy Physics - Theory
2016-01-27 v2 High Energy Astrophysical Phenomena
General Relativity and Quantum Cosmology
Fluid Dynamics
Abstract
We derive exact scaling relations for two-dimensional relativistic hydrodynamic turbulence in the inertial range of scales. We consider both the energy cascade towards large scales and the enstrophy cascade towards small scales. We illustrate these relations by numerical simulations of turbulent weakly compressible flows. Intriguingly, the fluid-gravity correspondence implies that the gravitational field in spacetimes with anti-de Sitter asymptotics should exhibit similar scaling relations.
Cite
@article{arxiv.1510.00736,
title = {Scaling Relations in Two-Dimensional Relativistic Hydrodynamic Turbulence},
author = {John Ryan Westernacher-Schneider and Luis Lehner and Yaron Oz},
journal= {arXiv preprint arXiv:1510.00736},
year = {2016}
}
Comments
22 pages, 9 figures, minor typos corrected