11-09U

The dielectric permittivity $\varepsilon $ of the multicomponent systems of particles with different polarization is calculated. General expressions defining $\varepsilon $ via dielectric permittivities $\varepsilon _i$ and concentrations $n_i$ of the particular sorts are obtained. Two methods are used in the calculations. First, in the random phase approximation the dipole moments of particles induced by an external electric field are found. Second, it is shown that the induced dipole moments can be taken into account by introducing some additional degrees of freedom into the configurational integral. Specific calculations are made for the hard sphere model and for the Lennard-Jones liquid. The obtained results are compared to the known expressions of the phenomenological approach.