Continuing with the first part of this paper (1), in part II the constitutive equations are harmonized with the condition of objectivity and the condition of invariance (1.4). A discussion of the equations used to determine the heat flux and convective current is given; for an alternative model in which, in addition to the processes of conduction of heat and current and thermodiffusion, occurs as an irreversible process, corresponding constitutive equations are given that differ from the previous ones in the parts related to irreversible fluxes. For the isotropic material model, the constitutive equations are shown in spatial form. Finally, keeping only a pair of coupled effects (diffusion and heat conduction, current and heat conduction, current and diffusion) it was shown that the results of this work coincide with the corresponding classical relations.