Dissipative hydrodynamics of relativistic shock waves in a quark gluon plasma: Comparing and benchmarking alternate numerical methods

Gabbana, Alessandro; Plumari, Salvatore; Galesi, Giuseppe; Greco, V.; Simeoni, D.; Succi, Sauro; Tripiccione, R.

doi:10.1103/physrevc.101.064904

Cited by 12 publications

(18 citation statements)

References 84 publications

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“…3 we have reproduced, for reference, the results presented in Fig. 1 from [28], showing the profile of the macroscopic velocity β = U x /U 0 for a gas of massless particles at several different kinematic regimes. The two limiting cases, corresponding to the inviscid (η/s → 0) and the ballistic (η/s → ∞) regimes admit an analytic solution, whereas for intermediate regimes we compare the results against BAMPS (Boltzmann Approach to Multi-Parton Scatterings) [30], which solves the Boltzmann equation using a Monte Carlo technique.…”

Section: A Shock Waves In Quark Gluon Plasmasupporting

confidence: 69%

“…3: Riemann problem for an ultra-relativistic gas of particles for various viscous regimes. We show the macroscopic velocity profile β = U x /U 0 at t = 3.2 fm/c, comparing the results of an on-lattice RLBM implementation, previously presented in [28] (left), and the off-lattice scheme described in this work (right). The off-lattice scheme, based on a high order radial quadrature (K = 15, N K = 120), allows to significantly increase the accuracy of the numerical results in beyond hydrodynamic regimes (η/s > 0.1).…”

Section: A Shock Waves In Quark Gluon Plasmamentioning

confidence: 99%

“…Once the membrane is removed, the system develops onedimensional shock/rarefaction waves traveling along the x−axis. We use the same initial conditions as in [28], namely…”

Section: A Shock Waves In Quark Gluon Plasmamentioning

confidence: 99%

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Section: A Shock Waves In Quark Gluon Plasmasupporting

confidence: 69%

Section: A Shock Waves In Quark Gluon Plasmamentioning

confidence: 99%

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“…In our approach, we describe the quark-gluon plasma (QGP) by solving Relativistic Transport Boltzmann (RTB) equations developed to study the dynamics of the matter created in uRHICs [11][12][13][14][15]:…”

Section: Introductionmentioning

confidence: 99%

Hadron production within a full transport approach with statistical hadronization mechanism at RHIC and LHC energies

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We present for the first time results on final hadron production, with and without strangeness content, in Ultrarelativistic Heavy Ion Collisions at RHIC and LHC center of mass energies obtained combining a full 3+1D relativistic Boltzmann transport approach with a statistical hadronization mechanism. The non-perturbative interaction between quarks and gluons is described by means of a quasi-particle approach that permits to have an Equation of State close to lattice QCD. The resulting framework naturally includes both shear and bulk viscous effects. The 3+1D full transport evolution is converted to hadrons by mean of a realistic freeze-out hypersurface considering all known hadron resonances and by performing resonance decays. We present results on charged-hadron multiplicity, identified-particle spectra and identified-particle elliptic flow of π, K and p produced at RHIC and LHC energies for different centralities.

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“…Shock waves are one of the most interesting phenomena in relativistic hydrodynamics [1] and as such have spawned a significant literature [2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17]. In this work we want to focus on one aspect of the problem, which has been long considered critical for the development of viscous relativistic hydrodynamics [18].…”

Section: Introductionmentioning

confidence: 99%

Steady asymptotic equilibria in conformal relativistic fluids

Calzetta

2022

Preprint

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When one considers a shock wave in the frame where the shock is at rest, on either side one has a steady flow which converges to equilibrium away from the shock. However, hydrodynamics is unable to describe this flow if the asymptotic velocity is higher than the characteristic speed of the theory. We obtain an exact solution for the decay rate to equilibrium for a conformal fluid in kinetic theory under the relaxation time approximation, and compare it to two hydrodynamic schemes, one accounting for the second moments of the distribution function and thus equivalent, in the small deviations from equilibrium limit, to an Israel-Stewart framework, and another accounting for both second and third moments. While still having a finite characteristic speed, the second model is a significant improvement on the first.

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Dissipative hydrodynamics of relativistic shock waves in a quark gluon plasma: Comparing and benchmarking alternate numerical methods

Cited by 12 publications

References 84 publications

Fast kinetic simulator for relativistic matter

Fast kinetic simulator for relativistic matter

Hadron production within a full transport approach with statistical hadronization mechanism at RHIC and LHC energies

Steady asymptotic equilibria in conformal relativistic fluids

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