Non-extensive (3+1)-dimensional hydrodynamics for relativistic heavy-ion collisions

Abstract

A non-extensive (3+1)-dimensional hydrodynamic model for multi-particle production processes, NEX-CLVisc, is developed in the framework of CLVisc where the viscous corrections are turned off. It assumes that the non-extensive effects consistently exist in the initial conditions set by the optical Glauber model, the equation of state and the hadron kinetic freeze-out procedure. The model is then applied to simulate the pseudo-rapidity ($\eta$) distribution, the transverse momentum ($p_{\mathrm{T}}$) spectra and the $p_{\mathrm{T}}$-differential elliptic flow ($v_2$) of charged particles in Pb-Pb collisions at $\sqrt{s_{\mathrm{NN}}}=$ 2.76 TeV and 5.02 TeV, respectively. It is found that the model can reasonably well reproduce the experimental data of the $\eta$ distribution and the charged-particle spectra in a $p_{\mathrm{T}}$ range up to 6-8 GeV/c. When compared with the ideal hydrodynamic model, the $p_{\mathrm{T}}$-differential $v_2$ of charged particles is suppressed in the NEX-CLVisc model, which is similar to that observed in the hydrodynamic model with a shear viscous correction. Moreover, due to the lack of the viscous corrections and the event-by-event fluctuation, the model can only describe the $p_{\mathrm{T}}$-differential $v_2$ up to 3-4 GeV/c, which is smaller than its applicable range for the particle $p_{\mathrm{T}}$ spectra.

9 pages, 4 figures, 4 tables. Revised accroding to the referee's comments

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Cited by in corpus (1)

• QCD phase transition at finite temperature and chemical potential with the non-extensive statistics