The evolution of flux tubes in relativistic viscous hydrodynamics
Abstract
We study the evolution of cylindrical tubes in a hot QGP, described by the equation of state of the MIT bag model. These tubes are treated as perturbations in the energy density of the system which is formed in heavy ion collisions at RHIC and LHC. We start from the equations of relativistic viscous hydrodynamics in three spatial cylindrical dimensions and perform an expansion of these equations in a small parameter, conserving the nonlinearity of the viscous hydrodynamical formalism. We show that these perturbations are described by a threedimensional cylindrical nonlinear wave equation which has an analytical solution. Under certain assumptions, this equation becomes the Burgers equation. We estimate the typical expansion time of the tubes.
 Publication:

XXXV Brazilian Workshop on Nuclear Physics
 Pub Date:
 May 2013
 DOI:
 10.1063/1.4804122
 Bibcode:
 2013AIPC.1529..225F