In this article we continue to test cosmological models centred on Modified
Newtonian Dynamics (MOND) with light sterile neutrinos, which could in
principle be a way to solve the fine-tuning problems of the standard model on
galaxy scales while preserving successful predictions on larger scales. Due to
previous failures of the simple MOND cosmological model, here we test a
speculative model where the modified gravitational field is produced only by
the baryons and the sterile neutrinos produce a purely Newtonian field (hence
Modified Baryonic Dynamics). We use two component cosmological simulations to
separate the baryonic N-body particles from the sterile neutrino ones. The
premise is to attenuate the over-production of massive galaxy cluster halos
which were prevalent in the original MOND plus light sterile neutrinos
scenario. Theoretical issues with such a formulation notwithstanding, the
Modified Baryonic Dynamics model fails to produce the correct amplitude for the
galaxy cluster mass function for any reasonable value of the primordial power
spectrum normalisation.Comment: 11 pages, 2 figures. Submitted to JCA
