Speaker
Mohammad Nopoush
(Kent State University)
Description
We derive equations of motion for a system undergoing boost-invariant
longitudinal and azimuthally symmetric transverse Gubser flow using
leading order anisotropic hydrodynamics. This is accomplished by assuming
that the one-particle distribution function is ellipsoidally symmetric in
the momenta conjugate to the de Sitter coordinates used to parametrize the
Gubser flow. We then demonstrate that the $SO(3)_q$ symmetry in de Sitter
space further constrains the anisotropy tensor to be of spheroidal form.
The resulting system of two coupled ordinary differential equations for
the de Sitter space momentum scale and anisotropy parameter are solved
numerically and compared to a recently obtained exact solution of the
relaxation time approximation Boltzmann equation subject to Gubser flow.
We show that anisotropic hydrodynamics describes the spatio-temporal
evolution of the system better than all currently known dissipative
hydrodynamics approaches. In addition, we prove that anisotropic
hydrodynamics gives the exact solution of the relaxation-time
approximation Boltzmann equation in the ideal, $\eta/s \rightarrow 0$, and
free-streaming, $\eta/s \rightarrow \infty$, limits.
In collaboration with: Radoslaw Ryblewski (H. Niewodniczan´ski Institute of Nuclear Physics), Michael Strickland (Kent State University)
