KdV solitons in a cold quark gluon plasma

Abstract

The relativistic heavy ion program developed at RHIC and now at LHC motivated a deeper study of the properties of the quark gluon plasma (QGP) and, in particular, the study of perturbations in this kind of plasma. We are interested on the time evolution of perturbations in the baryon and energy densities. If a localized pulse in baryon density could propagate throughout the QGP for long distances preserving its shape and without loosing localization, this could have interesting consequences for relativistic heavy ion physics and for astrophysics. A mathematical way to proove that this can happen is to derive (under certain conditions) from the hydrodynamical equations of the QGP a Korteveg-de Vries (KdV) equation. The solution of this equation describes the propagation of a KdV soliton. The derivation of the KdV equation depends crucially on the equation of state (EOS) of the QGP. The use of the simple MIT bag model EOS does not lead to KdV solitons. Recently we have developed an EOS for the QGP which includes both perturbative and non-perturbative corrections to the MIT one and is still simple enough to allow for analitycal manipulations. With this EOS we were able to derive a KdV equation for the cold QGP.

References in corpus (4)

• Shapiro delay measurement of a two solar mass neutron star
• Sound waves and solitons in hot and dense nuclear matter
• Korteweg - de Vries solitons in relativistic hydrodynamics
• Soliton propagation in relativistic hydrodynamics

Cited by in corpus (13)

• Information-entropic analysis of Korteweg--de Vries solitons in the quark-gluon plasma
• Bubble dynamics and the quark-hadron phase transition in nuclear collisions
• Kadomtsev-Petviashvili equation in Relativistic Fluid Dynamics
• Viscosity, wave damping and shock wave formation in cold hadronic matter
• Compact stars with strongly coupled quark matter in a strong magnetic field
• Nonlinear waves in second order conformal hydrodynamics
• Propagation of non-linear waves in hot, ideal, and non-extensive quark-gluon plasma
• On the radial expansion of tubular structures in a quark gluon plasma
• Evolution of non-stationary pulses in a cold magnetized quark-gluon plasma
• From nothing to something: discrete integrable systems
• Waves in magnetized quark matter
• Acoustic horizons in nuclear fluids
• Lie symmetry classification for the 1+1 and 1+2 generalized Zoomeron equations