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Nucleation pathways on complex networks.

Authors
Type
Published Article
Journal
Chaos An Interdisciplinary Journal of Nonlinear Science
1089-7682
Publisher
American Institute of Physics
Publication Date
Volume
23
Issue
1
Pages
13112–13112
Identifiers
DOI: 10.1063/1.4790832
PMID: 23556949
Source
Medline

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.

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