  In the present paper, we solve the Dirac equation in the 2+1 dimensional
exponentially expanding magnetized by uniform magnetic field and non-magnetized
universes, separately. Asymptotic behaviors of the solutions are determined.
Using these results we discuss the current of a Dirac particle to discuss the
polarization densities and the magnetization density in the context of Gordon
decomposition method. In this work we also calculate the total polarization and
magnetization, to investigate that the magnetic field how can effect on the
particle production. Furthermore, the electric and the magnetic dipole moments
calculated, and based on these we have discussed the effects of the dipole
moments on the charge distribution of the universe and its conductivity for
both the early and the future time epoch in the presence/absence a constant
magnetic field and exponentially expanding spacetime.
