Linear transport theory for particles moving on a spherical surface

The paper deals with a linear transport model for particles moving on a spherical surface in the presence of absorption and scattering events. Starting from the analytical expression for the particle density in the case of a pure absorbing sphere, an integral equation is derived for situations in which isotropic scattering is present. The equation has been solved numerically in order to obtain the Green function of the problem. Analytical and numerical results are compared with those obtained resorting to the Monte Carlo method.