Landau kinetic equation for dry aligning active models

The Landau equation in the contest of the dry active matter relies on the weak coupling approximation of both the alignment interaction and of the angular noise instead of the the diluteness. In this respect, it is a kinetic equation between the Boltzmann and the Smoluchowski approximations allowing analytical descriptions at moderate densities. Finally, the resulting hydrodynamic equations are derived and compared to the the state of the art in the field, in alignment with previous results in the literature