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We analyze a mean-field model for mixtures involving biaxial nematogens anddipolar nanoparticles, taking into account orientational and isotropic pairinteractions between nematogens, but also orientational nematogen-nanoparticleinteractions. We determine bulk equilibrium phase diagrams for a wide range ofinteraction strengths, identifying in each case the effect of the nanoparticleson the stability of nematic phases and on the appearance of multicriticalpoints. Special attention is given to the limit of low concentration ofnanoparticles, in which their effect on the temperatures of both thefirst-order uniaxial-isotropic and the continuous biaxial-uniaxial transitionsis investigated in detail.

Mean-field model for a mixture of biaxial nematogens and dipolar nanoparticles