Maximum entropy eddington factors in flux-limited neutrino diffusion

A neutrino transport scheme for use in dense stellar environments and collapsing stars is constructed. The maximum entropy principle is used to establish the general form of the angular neutrino distribution function. The two Lagrange multipliers introduced by this procedure are determined by using the flux-limited diffusion theory (FDT) of Levermore and Pomraning. In contrast to standard practice in radiation (photon) transport, the anisotropic scattering contribution is taken into account. Its inclusion leads to a modification of the Levermore-Pomraning approach. The transition from a multigroup to an energy-integrated transport scheme for FDT is investigated. In particular, the link to the two-fluid model of Cooperstein et al is made.