The condensation of non-growing complex networks in Boltzmann limit

• Main Authors: SU Guifeng, LI Xiaowen, ZHANG Yi
• Format: Article
• Language: English
• Published: Academic Journals Center of Shanghai Normal University 2015-10-01
• Series: Journal of Shanghai Normal University (Natural Sciences)
• Subjects: complex network; fitness model; condensation; Boltzmann limit
• Online Access: http://qktg.shnu.edu.cn/zrb/shsfqkszrb/ch/reader/create_pdf.aspx?file_no=201505009&flag=1&year_id=2015&quarter_id=5
• ISSN: 1000-5137; 1000-5137

We first discuss some different condensation phenomenon in complex networks.Then we analyze the critical phenomenon of the non-growing Bianconi-Barabsi (B-B) fitness model with fixed number of nodes and links.The analytical studies show that this model displays a condensate-non-condensate phase transition.We numerically simulate its critical behavior in the Boltzmann limit,and find that the non-condensation phase is significantly different from that of the growing B-B model.The corresponding critical temperature <i>T_c</i> and degree distribution <i>P</i>(<i>k</i>) are identified.