Statistical physics approaches to nonlinear transport on complex networks

2014 Fiscal Year Final Research Report

• Project/Area Number: 24540395
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Multi-year Fund
• Section: 一般
• Research Field: Mathematical physics/Fundamental condensed matter physics
• Research Institution: Tokyo Institute of Technology
• Principal Investigator: TAKAYASU MISAKO 東京工業大学, 総合理工学研究科(研究院), 准教授 (20296776)
• Project Period (FY): 2012-04-01 – 2015-03-31
• Keywords: 複雑ネットワーク / 非線形輸送システム / 流域サイズ / 相転移現象 / 凝集現象 / 分岐過程 / 頑強性 / 物流ネットワーク

Outline of Final Research Achievements

By analyzing big-data about 1 million business firms, we firstly confirmed that the transaction network has typical properties of complex networks such as power law distribution of link numbers. We then observe the amount of flow between pairs and established a nonlinear transport relation in the framework so-called gravity law. Generalizing this pairwise relation to the whole network system, we constructed a nonlinear transport model which enables estimation of flow intensity at any point. Additionally, we defined a new quantity that characterizes fragility of network connectivity by applying theory of percolation.

Free Research Field

数理物理・物性基礎論