On the radial expansion of tubular structures in a quark gluon plasma

Abstract

We study the radial expansion of cylindrical tubes in a hot QGP. 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 hydrodynamics in two spatial dimensions and cylindrical symmetry and perform an expansion of these equations in a small parameter, conserving the nonlinearity of the hydrodynamical formalism. We consider both ideal and viscous fluids and the latter are studied with a relativistic Navier-Stokes equation. We use the equation of state of the MIT bag model. In the case of ideal fluids we obtain a breaking wave equation for the energy density fluctuation, which is then solved numerically. We also show that, under certain assumptions, perturbations in a relativistic viscous fluid are governed by the Burgers equation. We estimate the typical expansion time of the tubes.

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• KdV solitons in a cold quark gluon plasma
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• Soliton propagation in relativistic hydrodynamics
• Influence of tubular initial conditions on two-particle correlations

Cited by in corpus (5)

• Kadomtsev-Petviashvili equation in Relativistic Fluid Dynamics
• Viscosity, wave damping and shock wave formation in cold hadronic matter
• Nonlinear waves in second order conformal hydrodynamics
• Propagation of non-linear waves in hot, ideal, and non-extensive quark-gluon plasma
• Analytical calculations of the Quantum Tsallis thermodynamic variables