Speaker
Dr
Mauricio Martinez Guerrero
(FIAS)
Description
We present a method to improve the description of 0+1 dimensional boost
invariant dissipative dynamics in the presence of large momentum-space
anisotropies. Instead of using the canonical hydrodynamical expansion of the distribution function around an isotropic equilibrium state, we expand around a state which is anisotropic in momentum space and parameterize this state in terms of three proper-time and spatial-rapidity dependent parameters. At leading order the result obtained is two coupled hydro-like differential equations for the momentum-space anisotropy and typical momentum of the degrees of freedom. Within this framework, we get both the ideal hydrodynamic and free streaming expansion as asymptotic limits. In addition, we show that when linearized the differential equations reduce to 2nd order Israel-Stewart viscous hydrodynamics. Finally, we make quantitative comparisons of the evolution of the pressure anisotropy within our approach and 2nd order viscous hydrodynamics in both the strong
and weak coupling limits. We make quantitative comparisons of the
evolution of the pressure anisotropy within our approach and 2nd order
viscous hydrodynamics in both the strong and weak coupling limits.
Finally, we comment about the generalization of this framework to
non-boost invariant expansion.
Author
Dr
Mauricio Martinez Guerrero
(FIAS)
Co-author
Dr
Michael Strickland
(Gettysburg College)