Abstract
We introduce a transport approach at fixed shear viscosity to entropy ratio $\etas$ to study the generation of collective flows in ultra-relativistic heavy-ion collisions. Transport theory supplies a covariant approach valid also at large $\etas$ and at intermediate transverse momentum , where deviations from equilibrium is no longer negligible. Such an approach shows that at RHIC energies a temperature dependent $\etas$ enhances significantly the respect to the case of constant $\etas$. Furthermore if NJL chiral dynamics is self-consistently implemented we show that it does not modify the relation between and $\etas$.
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