Speaker
Jorge Noronha
(University of Sao Paulo)
Description
Relativistic hydrodynamics plays an important role in the quantitative description of the space-time evolution of the strongly coupled QGP created in Ultrarelativistic Heavy-Ion Collisions. Thus, it is necessary to have under control the physical assumptions made in the hydrodynamical modelling. In this work we present a new exact solution to the relativistic Boltzmann equation. This solution describes a system undergoing boost-invariant longitudinal and azimuthally symmetric radial expansion for arbitrary shear viscosity to entropy density ratio. The resulting solution is invariant under the $SO(3)_q \otimes SO(1,1) \otimes Z_2$ group symmetry. We test the efficiency of various hydrodynamic approximation methods by comparing the evolution of the moments of the exact solution (such as energy density and shear viscous tensor) with the corresponding solutions of the macroscopic hydrodynamic equations. In addition, we briefly discuss the phase-space evolution of this new exact solution and the physical constraints on its applicability.
References:
1. G. S. Denicol, U. Heinz, M. Martinez, J. Noronha and M. Strickland. ``A new exact solution of the relativistic Boltzmann equation and its hydrodynamic limit,’' Phys. Rev. Lett. 113, 202301 (2014).
2. G. S. Denicol, U. Heinz, M. Martinez, J. Noronha and M. Strickland. ``Studying the validity of relativistic hydrodynamics with a new exact solution of the Boltzmann equation,’' Phys. Rev. D 90, 125026 (2014).
3. U. Heinz, M. Martinez. "Investigating the domain of validity of the Gubser solution to the Boltzmann equation", Forthcoming.
Author
Dr
Mauricio Martinez Guerrero
(The Ohio State University)
