2007/10/17 by Michael Maragakis, Michalis Maragakis, Shai Carmi +4 · 1 citation
Chemistry · Mathematics · Physics and Astronomy · #Biology #Chemistry #Complex Network Analysis Techniques #Computer science #Degree (music) #Diffusion #Fraction (chemistry) #Opinion Dynamics and Social Influence #Physics #Quantum mechanics #Scale (ratio) #Statistical physics #Stochastic processes and statistical mechanics #Trapping #cond-mat.dis-nn #cond-mat.stat-mech
paper · pdf · doi:10.1103/physreve.77.020103
published as Phys. Rev. E 77, 020103 (2008) · 5 pages, 3 figures
arxiv created 2007/10/17 · openalex publication_date 2008/02/07 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We introduce a model for diffusion of two classes of particles (A and B ) with priority: where both species are present in the same site the motion of A's takes precedence over that of B's. This describes realistic situations in wireless and communication networks. In regular lattices the diffusion of the two species is normal, but the B particles are significantly slower due to the presence of the A particles. From the fraction of sites where the B 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 B's are 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.