Percolation of Mobile Individuals on Weighted Scale-Free Networks

The percolation-like phase transition of mobile individuals is studied on weighted scale-free (WSF) networks, in which the maximum occupancy at each node is one individual (i.e. hard core interaction) and individuals can move to neighbor void node. Especially, the condition for the existence of a spanning cluster of individuals (a connected cluster of neighbor nodes occupied by individuals that span the entire systems) is investigated and it is found that there exists a critical value of weight coupling parameter β_c, above which the density threshold of individuals is zero and below which the density threshold is larger than zero for WSF networks in the thermodynamic limit N→∞. Furthermore, the finite size scaling analysis show that for certain value β, the percolation transition of mobile individuals on a WSF network belongs to the same universality class of regular random graph percolation.