Turbulent chromo-fields and thermal particle production in quark-gluon plasma medium

The Weibel type instabilities appear in the expanding quark-gluon plasma (QGP) in relativistic heavy-ion collisions, due to the presence of momentum-space anisotropy, are responsible for the generation of the turbulent color fields. The ensemble averaged (ensemble of the turbulent fields) effective diffusive Vlasov equation, for the modified momentum distribution functions of the quarks and gluons encodes the physics of such instability and leads to the anomalous transport process in the QGP medium. In the present case, the solution of the linearized transport equation for the modified momentum distribution functions has been served as the modeling for the non-equilibrium momentum distribution functions for the QGP degrees of freedom. The strength of anisotropy has been related to a phenomenologically obtained jet-quenching parameter, q^