Nuclear Physics Seminar - Mauricio Martinez-Guerrero (The Ohio State University) Studying the Validity of Viscous Hydrodynamics With a New Exact Solution of the Boltzmann Equation

Physics Research Building
December 4, 2014
10:00AM - 11:00AM
4138 Physics Research Building

Date Range
2014-12-04 10:00:00 2014-12-04 11:00:00 Nuclear Physics Seminar - Mauricio Martinez-Guerrero (The Ohio State University) Studying the Validity of Viscous Hydrodynamics With a New Exact Solution of the Boltzmann Equation We present an exact solution to the Boltzmann equation which describes a system undergoing boost-invariant longitudinal and azimuthally symmetric radial expansion for arbitrary shear viscosity to entropy density ratio.This new solution is constructed by considering the conformal map between Minkowski space and the direct product of three dimensional de Sitter space with a line. The resulting solution respects SO(3)_q xSO(1,1) x Z_2 symmetry. We compare the exact kinetic solution with exact solutions of the corresponding macroscopic equations that were obtained from the kinetic theory in ideal and second-order viscous hydrodynamic approximations. The macro- scopic solutions are obtained in de Sitter space and are subject to the same symmetries used to obtain the exact kinetic solution.  4138 Physics Research Building America/New_York public

We present an exact solution to the Boltzmann equation which describes a system undergoing boost-invariant longitudinal and azimuthally symmetric radial expansion for arbitrary shear viscosity to entropy density ratio.

This new solution is constructed by considering the conformal map between Minkowski space and the direct product of three dimensional de Sitter space with a line. The resulting solution respects SO(3)_q x

SO(1,1) x Z_2 symmetry. We compare the exact kinetic solution with exact solutions of the corresponding macroscopic equations that were obtained from the kinetic theory in ideal and second-order viscous hydrodynamic approximations. The macro- scopic solutions are obtained in de Sitter space and are subject to the same symmetries used to obtain the exact kinetic solution.