  Momentum anisotropy present during the hydrodynamic evolution of Quark-Gluon
Plasma (QGP) in RHIC may lead to chromo-Weibel instability and turbulent
chromo-fields.The dynamics of the quark and gluon momentum distributions in
this case is governed by an effective diffusive Vlasov equation (linearized).
The solution of this linearized transport equation for the modified momentum
distribution functions lead to the mathematical form of non-equilibrium
momentum distribution functions of quarks/antiquarks and gluons. The
modification to these distributions encode the physics of turbulent color
fields and momentum anisotropy. In the present manuscript, we employ these
distribution functions to to estimate thermal dilepton production rate in the
QGP medium. The production rate is seen to have appreciable sensitivity to the
strength of the anisotropy.
