  We consider a dilute ensemble of randomly-oriented noninteracting spherical
nanomagnets and investigate its magnetization structure and ensuing
neutron-scattering response by numerically solving the Landau-Lifshitz
equation. Taking into account the isotropic exchange interaction, an external
magnetic field, a uniaxial magnetic anisotropy for the particle core, and in
particular the Neel surface anisotropy, we compute the magnetic small-angle
neutron scattering cross section and pair-distance distribution function from
the obtained equilibrium spin structures. The numerical results are compared to
the well-known analytical expressions for uniformly magnetized particles and
provide guidance to the experimentalist. Moreover, the effect of a
particle-size distribution function is modeled.
