Abstract
We resolve a long-standing question regarding the suitable effective diffusion coefficient of the spherical-symmetric transport equation, which is valid at long times. To that end, we generalize a transport solution in three dimensions for homogeneous media, to include general-collisional properties, including birth-death events and linearly anisotropic scattering. This is done by introducing an exact scaling law relating the Green's function of the pure-scattering case with the general-collision case, which is verified using deterministic and Monte Carlo simulations. Importantly, the effective diffusion coefficient is identified by inspecting the transport solution at long times. Published by the American Physical Society 2024
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