A two-species hydrodynamic model of particles interacting through self-alignment
نویسنده
چکیده
In this paper, we present a two-species Vicsek model, that describes alignment interactions of self-propelled particles which can either move or not. The model consists in two populations with distinct Vicsek dynamics [42] that interact only via the passage of the particles from one population to the other. The derivation of a macroscopic description of this model is performed using the methodology used in [22] for the Vicsek model: we find out a regime where alignment in the whole population occurs. We obtain a new macroscopic model for the densities of each populations and the common mean direction of the particles. The treatment of the non-conservativity of the interactions requires a detail study of the linearised interaction operator.
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