Particle dynamics in graphene: Collimated beam limit

We investigate the particle dynamics in a two-dimensional structure containing two different populations of particles. We consider the semiclassical high temperature limit of the particle gas. The particle motion is described at the hydrodynamic level. We show the existence of a regime, denoted as collimated beam limit, where the problem of the closure of the hydrodynamic moments hierarchy simplifies considerably. Some numerical experiments are presented where our model is applied to the numerical simulation of a nanometric device based on a graphene sheet.