Year: 2005
Type: article
Abstract: 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.
Source: Europhysics Letters (EPL)
Authors: S Thurner, C Tsallis
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: bronze
Funder: Air Force Research Laboratory
OpenAlex ID: W2171533083