Numerical tests of causal relativistic dissipative fluid dynamics

Molnár, E.; Niemi, Harri; Rischke, Dirk H.

doi:10.1140/epjc/s10052-009-1194-9

Cited by 64 publications

(86 citation statements)

References 71 publications

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“…There has been a considerable advance in hydrodynamics modeling and calculations of these collisions over the last decade. Numerical simulations in 2 + 1 D [1] and in 3 + 1 D [2][3][4][5][6][7] including viscous corrections are becoming the new standard in this field, and existing codes are also able to handle initial state fluctuations. a e-mail: becattini@fi.infn.it An interesting issue is the possible formation of vorticity in peripheral collisions [8][9][10].…”

Section: Introductionmentioning

confidence: 99%

A study of vorticity formation in high energy nuclear collisions

et al. 2015

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We present a quantitative study of vorticity formation in peripheral ultrarelativistic heavy-ion collisions at √ s NN = 200 GeV by using the ECHO-QGP numerical code, implementing relativistic dissipative hydrodynamics in the causal Israel-Stewart framework in 3 + 1 dimensions with an initial Bjorken flow profile. We consider different definitions of vorticity which are relevant in relativistic hydrodynamics. After demonstrating the excellent capabilities of our code, which proves to be able to reproduce Gubser flow up to 8 fm/c, we show that, with the initial conditions needed to reproduce the measured directed flow in peripheral collisions corresponding to an average impact parameter b = 11.6 fm and with the Bjorken flow profile for a viscous Quark Gluon Plasma with η/s = 0.1 fixed, a vorticity of the order of some 10 −2 c/fm can develop at freeze-out. The ensuing polarization of baryons does not exceed 1.4 % at midrapidity. We show that the amount of developed directed flow is sensitive to both the initial angular momentum of the plasma and its viscosity.

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Section: Introductionmentioning

confidence: 99%

A study of vorticity formation in high energy nuclear collisions

et al. 2015

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“…(10) in Ref. [77] is missing the contribution of the Christoffel symbols compared to Eq. (A52) in this work.…”

Section: Appendix A: Equations In (3+1)-dimensionsmentioning

confidence: 99%

Influence of temperature-dependent shear viscosity on elliptic flow at backward and forward rapidities in ultrarelativistic heavy-ion collisions

et al. 2014

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We explore the influence of a temperature-dependent shear viscosity over entropy density ratio ηs/s on the azimuthal anisotropies v2 and v4 of hadrons at various rapidities. We find that in Au + Au collisions at full Relativistic Heavy Ion Collider energy, √ sNN = 200 GeV, the flow anisotropies are dominated by hadronic viscosity at all rapidities, whereas in Pb + Pb collisions at the Large Hadron Collider energy, √ sNN = 2760 GeV, the flow coefficients are affected by the viscosity in both the plasma and hadronic phases at midrapidity, but the further away from midrapidity, the more dominant the hadronic viscosity becomes. We find that the centrality and rapidity dependence of the elliptic and quadrangular flows can help to distinguish different parametrizations of (ηs/s)(T ). We also find that at midrapidity the flow harmonics are almost independent of the decoupling criterion, but show some sensitivity to the criterion at back-and forward rapidities.

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“…[6]. The numerical method of choice for solving the Boltzmann equation is the Boltzmann approach for multiparton scattering (BAMPS) [11], while the macroscopic field equations are solved using the viscous SHarp And Smooth Transport Algorithm (vSHASTA) [14]. Both fluid dynamics and the Boltzmann equation are solved in Cartesian coordinates with a flat space-time metric g µν = diag(1, −1, −1, −1).…”

Section: Comparison With the Boltzmann Equationmentioning

confidence: 99%

Solving the heat-flow problem with transient relativistic fluid dynamics

et al. 2014

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Israel-Stewart theory is a causal, stable formulation of relativistic dissipative fluid dynamics. This theory has been shown to give a decent description of the dynamical behavior of a relativistic fluid in cases where shear stress becomes important. In principle, it should also be applicable to situations where heat flow becomes important. However, it has been shown that there are cases where IsraelStewart theory cannot reproduce phenomena associated with heat flow. In this paper, we derive a relativistic dissipative fluid-dynamical theory from kinetic theory which provides a good description of all dissipative phenomena, including heat flow. We explicitly demonstrate this by comparing this theory with numerical solutions of the relativistic Boltzmann equation.

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Numerical tests of causal relativistic dissipative fluid dynamics

Cited by 64 publications

References 71 publications

A study of vorticity formation in high energy nuclear collisions

A study of vorticity formation in high energy nuclear collisions

Influence of temperature-dependent shear viscosity on elliptic flow at backward and forward rapidities in ultrarelativistic heavy-ion collisions

Solving the heat-flow problem with transient relativistic fluid dynamics

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