ノガワ　トモアキ   Nogawa Tomoaki   能川　知昭    所属   東邦大学  医学部 医学科    職種   講師
論文種別	原著
言語種別	英語
査読の有無	査読あり
表題	Profile and scaling of the fractal exponent of percolations in complex networks
掲載誌名	正式名：Europhysics Letters 略　 称：EPL
巻・号・頁	104(1),pp.16006:1-6
著者・共著者	Takehisa Hasegawa, Tomoaki Nogawa and Koji Nemoto
担当区分	2nd著者
発行年月	2013/11
概要	We propose a novel finite-size scaling analysis for percolation transition observed in complex networks. While it is known that cooperative systems in growing networks often undergo an infinite-order transition with inverted Berezinskii-Kosterlitz-Thouless singularity, it is very hard for numerical simulations to determine the transition point precisely. Since the neighbor of the ordered phase is not a simple disordered phase but a critical phase, conventional finite-size scaling technique does not work. In our finite-size scaling, the forms of the scaling functions for the order parameter and the fractal exponent determine the transition point and critical exponents numerically for an infinite-order transition as well as a standard second-order transition. We confirm the validity of our scaling hypothesis through Monte Carlo simulations for bond percolations in some network models: the decorated (2,2)-flower and the random attachment growing network, where an infinite-order transition occurs, and the configuration model, where a second-order transition occurs.