title: Nucleation pathways on complex networks.
abstract: Identifying nucleation pathway is important for understanding the kinetics of first-order phase transitions in natural systems. In the present work, we study nucleation pathway of the Ising model in homogeneous and heterogeneous networks using the forward flux sampling method, and find that the nucleation processes represent distinct features along pathways for different network topologies. For homogeneous networks, there always exists a dominant nucleating cluster to which relatively small clusters are attached gradually to form the critical nucleus. For heterogeneous ones, many small isolated nucleating clusters emerge at the early stage of the nucleation process, until suddenly they form the critical nucleus through a sharp merging process. Moreover, we also compare the nucleation pathways for different degree-mixing networks. By analyzing the properties of the nucleating clusters along the pathway, we show that the main reason behind the different routes is the heterogeneous character of the underlying networks.
authors.affiliation: Hefei National Laboratory for Physical Sciences at Microscales, and Department of Chemical Physics, University of Science and Technology of China, Hefei 230026, China.
authors.forename: Chuansheng
authors.initials: C
authors.lastname: Shen
authors.forename: Hanshuang
authors.initials: H
authors.lastname: Chen
authors.forename: Miaolin
authors.initials: M
authors.lastname: Ye
authors.forename: Zhonghuai
authors.initials: Z
authors.lastname: Hou
mesh_terms: D016000:Cluster Analysis; D003198:Computer Simulation; D007700:Kinetics; D009010:Monte Carlo Method; D017711:Nonlinear Dynamics; D009716:Numerical Analysis, Computer-Assisted; D044367:Phase Transition; D013598:Systems Theory