Speaker
Ze-Fang Jiang
(Central China Normal University)
Description
We will present new, exact, finite solutions of relativistic hydrodynamics for
longitudinally expanding fireballs for arbitrary constant value of the speed of
sound (CKCJ). These new solutions generalize earlier, longitudinally finite, exact
solutions, from an unrealistic to a reasonable equation of state, characterized
by a temperature independent (average) value of the speed of sound.
Observables such as the rapidity density and the pseudorapidity density are
evaluated analytically, resulting in simple and easy to fit formulae that can
be matched to the high energy proton--proton and heavy ion collision data at
RHIC and LHC. In the longitudinally boost-invariant limit, these new solutions
approach the Hwa--Bjorken solution and the corresponding rapidity distributions
approach a rapidity~plateaux.
Also, we will present a perturbative solution of viscous hydrodynamics which included the longitudinal acceleration. The charged-particle's final state spectrum is derived from an analytic perturbative solution for the relativistic viscous hydrodynamics. By taking into account the longitudinal acceleration effect in relativistic viscous hydrodynamics, the pseudorapidity spectrum describes well the nucleus-nucleus colliding systems at RHIC and LHC. Based on both the extracted longitudinal acceleration parameters $\lambda^{*}$ and a phenomenological description of the $\lambda^{*}$, the charged-particle's pseudorapidity distributions for $\sqrt{s_{NN}}$ = 5.44 TeV Xe+Xe collisions are computed from the final state expression in a limited space-time rapidity $\eta_{s}$ region.
Summary
We published above results at Phys. Rev. C 97, 064906
https://journals.aps.org/prc/abstract/10.1103/PhysRevC.97.064906
and Universe 2018, 4(6), 69 (analytical solutions for ideal hydroddynamics)
http://www.mdpi.com/2218-1997/4/6/69
and a paper accepted by Chinese Physics C
https://arxiv.org/abs/1808.10287
and two papers submitted to APPB
https://arxiv.org/abs/1806.05750
https://arxiv.org/pdf/1806.06794.pdf
| Type | Parallel talk |
|---|---|
| Sessions (parallel only) | Heavy Ions |
Primary author
Ze-Fang Jiang
(Central China Normal University)
Co-authors
Dr
Csanad Mate
(Eötvös University, Budapest, Hungary)
Prof.
Csorgo Tamas
(Hungary Wigner RCP)
纯斌 杨
(CCNU)
