QM 2011 - XXII International Conference on Ultrarelativistic Nucleus-Nucleus Collisions

May 22 – 28, 2011
Centre Bonlieu
Europe/Zurich timezone

Dissipative hydrodynamics for relativistic multi-component systems

Not scheduled
Théâtre National (Centre Bonlieu)

Théâtre National

Centre Bonlieu

France
Board: 14
Poster Global and collective dynamics

Speaker

Andrej El (University of Frankfurt)

Description

Novel set of second-order dissipative hydrodynamic equations for shear stress tensor of each component of a multi-component mixture is derived using the entropy principle [1]. Summation over the equations for all components leads to an effective relaxation-type one-component equation for the total system. In this equation the effective shear viscosity (or alternatively the $\eta/s$ ratio) of the whole system is related to the partial shear pressures and cannot be considered as an external parameter. We demonstrate that in order to describe hydrodynamic behaviour of a multi-component system as a whole it is essential to solve hydrodynamic equations for each component, instead of treating a mixture as an effective one-component system with the free parameters $\eta/s$ and initial time [1]. This conclusion is confirmed by comparisons of solutions of the new hydrodynamic equations with results of kinetic transport simulations, which demonstrate a very good agreement between the two approches. Thus, extractions of the $\eta/s$ value of the QGP at RHIC and LHC have to be reexamined. We apply the obtained multi-component hydrodynamic equations to quantify the dissipative effects on quark and gluon spectra, which are relevant for coalescence and recombination models of hadronization. [1] A. El, I. Bouras, F. Lauciello, Z. Xu and C. Greiner arXiv:1103.4038v1 (Submitted to PRL)

Primary author

Andrej El (University of Frankfurt)

Co-authors

Prof. Carsten Greiner (University of Frankfurt) Mr Francesco Lauciello (University of Frankfurt) Mr Ioannis Bouras (University of Frankfurt) Dr Zhe Xu (University of Frankfurt)

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