Accelerating hydrodynamic description of pseudorapidity density and the initial energy density in p+p, Cu+Cu, Au+Au, and Pb+Pb collisions at RHIC and LHC

Ze-Fang, Jiang; Chun-Bin, Yang; Csanad, Mate; Csorgo, Tamas

doi:10.48550/arxiv.1711.10740

Cited by 5 publications

(16 citation statements)

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“…(12,13) including first order approximation are still a set of nonlinear differential equations, which are notoriously hard to solve analytically. Fortunately, based on the results from the ideal hydro [21,38], we found that the longitudinal acceleration parameter λ * extracted from the experimental data is pretty small (0 < λ * 1), which resulting in a simply perturbation solution. We assume the λ * is a small number here, up to the leading order O(λ * ), Eqs.…”

Section: The Perturbation Solutions To the Longitudinally Expanding Flowmentioning

confidence: 97%

“…Recently, a series of interesting analytical solutions for longitudinally expanding relativistic perfect fluid were found by Budapest and Wuhan group [16,18,21,22]. These ideal hydrodynamics solutions combined with Buda-Lund model [37] have been utilized for simulating QGP medium dynamic evolution and readily reproduce the observed final state multiplicity distribution and its dependence on beam energy, collision system, particle mass and freeze-out temperature [14,16,19,21,23,38,39].…”

Section: Introductionmentioning

confidence: 99%

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Perturbation solutions of relativistic viscous hydrodynamics for longitudinally expanding fireballs

Jiang,

She,

Yang

et al. 2020

Preprint

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The solutions of relativistic viscous hydrodynamics for longitudinal expanding fireballs is investigated with the Navier-Stokes theory and Israel-Stewart theory. The energy and Euler conservation equations for the viscous fluid are derived in Rindler coordinates with the longitudinal expansion effect is small. Under the perturbation assumption, an analytical perturbation solution for the Navier-Stokes approximation and numerical solutions for the Israel-Stewart approximation are presented. The temperature evolution with both shear viscous effect and longitudinal acceleration effect in the longitudinal expanding framework are presented and specifically temperature profile shows symmetry Gaussian shape in the Rindler coordinates. In addition, in the presence of the longitudinal acceleration expanding effect, the results of the Israel-Stewart approximation are compared to the results from Bjorken and Navier-Stokes approximation, and it gives a good description than the Navier-Stokes theories results at the early stages of evolution.

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Section: The Perturbation Solutions To the Longitudinally Expanding Flowmentioning

confidence: 97%

Section: Introductionmentioning

confidence: 99%

Perturbation solutions of relativistic viscous hydrodynamics for longitudinally expanding fireballs

Jiang,

She,

Yang

et al. 2020

Preprint

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“…Experiments have observed many important evidences for the formation of QGP, one of which is strong collective anisotropic flows which lead to azimuthal asymmetry in the final-state hadron momentum distribution. Relativistic hydrodynamics has been very successful in de-scribing the space-time evolution of QGP and in explaining the observed anisotropic collective flow phenomena [9][10][11][12][13][14][15][16][17][18][19][20]. Due to the strong interaction among QGP constituents, the initial geometric anisotropies of the fireball are translated into final state momentum anisotropies of soft hadrons [21][22][23][24][25][26][27][28][29][30].…”

Section: Introductionmentioning

confidence: 99%

(3+1)-D viscous hydrodynamics CLVisc at finite net baryon density: identified particle spectra, anisotropic flows and flow fluctuations across BES energies

Wu,

Qin,

Pang

et al. 2021

Preprint

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To study the bulk properties of the quark-gluon-plasma (QGP) produced at the beam energy scan (BES) energies at the Relativistic Heavy Ion Collider (RHIC), we extend the (3+1)-dimensional viscous hydrodynamics CLVisc to include net baryon number conservation and Israel-Stewart-like equation for baryon diffusion with the NEOS-BQS equation of state, fluctuating initial conditions from Monte-Carlo Glauber model, and the afterburner SMASH. This integrated framework is shown to provide a good description of identified particle spectra, mean transverse momenta and anisotropic flows for different centralities and over a wide range of collision energies (7.7-62.4 GeV). It is found that the mean momenta of identified particles and anisotropic flows increases mildly with the collision energy due to larger radial flow. We further compute the multiple-particle cumulant ratio v2{4}/v2{2} of elliptic flow across BES energies, and find that the relative fluctuations of elliptic flow are insensitive to the collision energy, consistent with the preliminary STAR data. Our model provides a benchmark for understanding the RHIC-BES data and studying the critical properties and phase structure of hot and dense QCD matter.

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“…It has been pointed out that in realistic situations the energy density at mid-rapidity decreases faster than in the Bjorken flow. Although the Bjorken-estimation for the initial energy density is widely used, the longitudinal expansion dynamics of hydrodynamics seems [28][29][30][31] to be able to offer a more realistic estimation for the initial energy density estimation and the final state description. Acceleration effects are important in the estimation of the initial energy density even at mid-rapidity, if the expanding system is finite: even the most central fluid element exert a force on the volume elements closer to the surface, and this work decreases the internal energy of cells even at mid-rapidity.…”

Section: Introductionmentioning

confidence: 99%

1+1 dimensional relativistic magnetohydrodynamics with longitudinal acceleration

et al. 2019

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Non-central heavy-ion collisions generate the strongest magnetic field of the order of 10 18 − 10 19 Gauss due to the electric current produced by the positively charged spectators that travel at nearly the speed of light. Such transient electromagnetic fields may induce various novel effects in the hydrodynamic description of the quark gluon plasma for non-central heavy-ion collisions. We investigate the longitudinal acceleration effects on the 1+1 dimensional relativistic magnetohydrodynamics with transverse magnetic fields. We analyze the proper time evolution of the system energy density. We find that the longitudinal acceleration parameter λ * , magnetic field decay parameter a, equation of state κ, and initial magnetization σ0 have nontrivial effects on the evolutions of the system energy density and temperature. PACS numbers: 12.38.Mh,24.85.+p,25.75.Nq

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Accelerating hydrodynamic description of pseudorapidity density and the initial energy density in p+p, Cu+Cu, Au+Au, and Pb+Pb collisions at RHIC and LHC

Cited by 5 publications

References 0 publications

Perturbation solutions of relativistic viscous hydrodynamics for longitudinally expanding fireballs

Perturbation solutions of relativistic viscous hydrodynamics for longitudinally expanding fireballs

(3+1)-D viscous hydrodynamics CLVisc at finite net baryon density: identified particle spectra, anisotropic flows and flow fluctuations across BES energies

1+1 dimensional relativistic magnetohydrodynamics with longitudinal acceleration

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