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

Particle Production via Dirac Dipole Moments in the Magnetized and Non-magnetized Exponentially Expanding Universe