2 research outputs found
Priority diffusion model in lattices and complex networks
We introduce a model for diffusion of two classes of particles ( and )
with priority: where both species are present in the same site the motion of
's takes precedence over that of 's. This describes realistic situations
in wireless and communication networks. In regular lattices the diffusion of
the two species is normal but the particles are significantly slower, due
to the presence of the particles. From the fraction of sites where the
particles can move freely, which we compute analytically, we derive the
diffusion coefficients of the two species. In heterogeneous networks the
fraction of sites where is free decreases exponentially with the degree of
the sites. This, coupled with accumulation of particles in high-degree nodes
leads to trapping of the low priority particles in scale-free networks.Comment: 5 pages, 3 figure