# Nuclear Physics Seminar

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Studying the validity of viscous hydrodynamics with a new exact
solution of the Boltzmann equation

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Mauricio Martinez-Guerrero (The Ohio State University)

#### December 4th, 2014, 10:00 am

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.

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