  The electric charge transport in a weakly magnetized hot QCD medium has been
investigated in the presence of an external inhomogeneous electric field. The
current densities (electric and Hall)induced by the inhomogeneous electric
field have been estimated in the regime where space-time inhomogeneity of the
field is small so that the collisional effect in the medium cannot be
neglected. The collisional aspect of the medium has been captured by employing
both relaxation time approximation and Bhatnagar-Gross-Krook collision kernel
in the relativistic Boltzmann equation. The magnetic field, momentum
anisotropy, and quark chemical potential dependences of the electric current
and Hall current densities have been explored, and the impacts on the
respective conductivities have been studied. The inhomogeneities of the field
are seen to have sizable effects on the electromagnetic responses of the
collisional medium.
