2022/10/09 by Qi Zhang, Zhang, Qi, Meizhu Li +1
Computer Science · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Complex Network Analysis Techniques #FOS: Physical sciences #Statistical Mechanics (cond-mat.stat-mech) #Topological and Geometric Data Analysis
paper · pdf · doi:10.48550/arxiv.2210.04199
openalex publication_date 2022/10/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Nonextensivity is foreseeable in network ensembles, as heterogeneous interactions generally exist in complex networked systems that need to be described by network ensembles. But this nonextensivity has not been literatured proved yet. In this work, the existence of nonextensivity in the binary and weighted network ensembles is theoretically proved for the first time (both in the microcanonical and canonical ensemble) based on the finding of the local entropy's nonlinear change when new nodes are added to the network ensembles. This proof also shows that the existence of nonextensivity is the main difference between the network ensembles and other traditional models in statistical physics (Ising model).