In this seminar, we analyze space charge effects on the beam dynamics of IMIF accelerators. The objective is to be able to characterize and understand the crucial issues like halo formation, core-halo interaction, emittance growth and sudden particle losses in the SRF-Linac. We use the Hofmann stability charts to identify modes of collective space charge density oscillations that are responsible for the transfer and growth of the emittance. With identification of modes, we apply the beam anisotropic equipartition state in the SRF-Linac. We construct a new particle-core module to the beam dynamics in the SRF-Linac. Finally, we propose dynamic equations for the distribution function of core and halo.