2005/06/06 by Stefan Thurner, S Thurner, Constantino Tsallis +1 · 2 citations
Physics and Astronomy · #Complex Network Analysis Techniques #Statistical Mechanics and Entropy #Theoretical and Computational Physics #cond-mat.other
paper · pdf · doi:10.1209/epl/i2005-10221-1
7 pages, 5 figures
arxiv created 2005/06/06 · openalex publication_date 2005/09/06 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30
We explore the possibility to interpret as a "gas" the dynamical self-organized scale-free network recently introduced by Kim et al. (2005). The role of "momentum" of individual nodes is played by the degree of the node, the "configuration space" (metric defining distance between nodes) being determined by the dynamically evolving adjacency matrix. In a constant-size network process, "inelastic" interactions occur between pairs of nodes, which are realized by the merger of a pair of two nodes into one. The resulting node possesses the union of all links of the previously separate nodes. We consider chemostat conditions, i.e. , for each merger there will be a newly created node which is then linked to the existing network randomly. We also introduce an interaction "potential" (node-merging probability) which decays with distance d ij as 1/ d ij α (α ⩾ 0). We numerically show that this system exhibits nonextensive statistics in the degree distribution, and calculate how the entropic index q depends on α. The particular cases α = 0 and α → ∞ recover the two models introduced by Kim et al.