Tsallis mapping in growing complex networks with fitness
Statistical Mechanics
2015-05-27 v2 Adaptation and Self-Organizing Systems
Abstract
We introduce Tsallis mapping in Bianconi-Barab\'asi (B-B) fitness model of growing networks. This mapping addresses the dynamical behavior of the fitness model within the framework of nonextensive statistics mechanics, which is characterized by a dimensionless nonextensivity parameter . It is found that this new phenomenological parameter plays an important role in the evolution of networks: the underlying evolving networks may undergo a different phases depending on the exponents, comparing to the original B-B fitness model, and the corresponding critical transition "temperature" is identified.
Keywords
Cite
@article{arxiv.1103.1009,
title = {Tsallis mapping in growing complex networks with fitness},
author = {Guifeng Su and Xiaobing Zhang and Yi Zhang},
journal= {arXiv preprint arXiv:1103.1009},
year = {2015}
}