Observables from a Perturbative, Accelerating Solution of Relativistic Hydrodynamics

Abstract

The discovery of the almost perfect fluid like nature of the strongly interacting quark-gluon plasma was one of the most important discoveries of heavy-ion physics in recent decades. The experimental results are well described by hydrodynamical models. Most of these models are numerical simulations, however the analytic solutions are also important in understanding the time evolution of the quark-gluon plasma created in the heavy-ion collisions. Here we present a perturbative, accelerating solution on top of a known solution, the relativistic Hubble flow. We describe the perturbative class of solutions, and calculate a few observables for a selected solution.

A Particle Emitting Source From an Accelerating, Perturbative Solution of Relativistic Hydrodynamics

“…The cause of this scaling is the hydrodynamical expansion both in the longitudinal and the radial directions [12]. We can see the R ∝ 1/ √ m T scaling in Figure 3 as it was already shown in [6].…”

“…For further studies we chose a simple solution, which is more general than that was investigated in [6]. The scale parameter in this case is:…”

“…Let us now investigate the quantities that can be measured in heavy-ion collisions and calculated from hydrodynamical solutions. For this we assume that the particles come from a thermalized medium of quark-gluon plasma and this can be characterized by a source which comes from a relativistic Jüttner-distribution similarly as in [3,6]. Also, we assume a constant freeze-out hypersurface in proper time at τ 0 .…”

New solutions of viscous relativistic hydrodynamics

“…[7,15]. This is compatible with a wide set of observables [8,9], even its perturbations were investigated [16], and Hubble flow is known to form independently of initial conditions in a wide range of possible scenarios [17]. Hubble flow is characterized by the flow profile…”