Zhu Liang, Ma Yu-Gang, Chen Qu, Han Ding-Ding
Shanghai Institute of Applied Physics, Chinese Academy of Sciences, Shanghai 201800, China.
University of Chinese Academy of Sciences, Beijing 100049, China.
Sci Rep. 2016 Aug 25;6:31882. doi: 10.1038/srep31882.
The nuclear reaction network is usually studied via precise calculation of differential equation sets, and much research interest has been focused on the characteristics of nuclides, such as half-life and size limit. In this paper, however, we adopt the methods from both multilayer and reaction networks, and obtain a distinctive view by mapping all the nuclear reactions in JINA REACLIB database into a directed network with 4 layers: neutron, proton, (4)He and the remainder. The layer names correspond to reaction types decided by the currency particles consumed. This combined approach reveals that, in the remainder layer, the β-stability has high correlation with node degree difference and overlapping coefficient. Moreover, when reaction rates are considered as node strength, we find that, at lower temperatures, nuclide half-life scales reciprocally with its out-strength. The connection between physical properties and topological characteristics may help to explore the boundary of the nuclide chart.
核反应网络通常通过精确求解微分方程组来研究,许多研究兴趣集中在核素的特性上,比如半衰期和尺寸极限。然而,在本文中,我们采用了来自多层网络和反应网络的方法,通过将JINA REACLIB数据库中的所有核反应映射到一个具有4层的有向网络(中子层、质子层、氦 - 4层和其余层),获得了一个独特的视角。这些层的名称对应于由消耗的流通粒子决定的反应类型。这种组合方法表明,在其余层中,β稳定性与节点度差和重叠系数高度相关。此外,当将反应速率视为节点强度时,我们发现,在较低温度下,核素半衰期与其出强度成反比。物理性质与拓扑特征之间的联系可能有助于探索核素图的边界。