高斯无标度聚合物网络的形状。

IF 2.3 4区 物理与天体物理 Q3 PHYSICS, CONDENSED MATTER
Viktoria Blavatska, Yurij Holovatch
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引用次数: 0

摘要

我们考虑在无标度图的基础上形成的复杂超支化聚合物结构模型,其中功能(度)kof节点服从幂律衰减概率p(k) ~ k—α。这种聚合物拓扑结构可以被认为是具有固定功能的规则层次树状大分子结构的推广。应用Wei的方法,用相应的Kirchhoff矩阵的特征值谱来定义任意复杂高斯网络的构型,数值计算了这种聚合物网络的构象尺寸和形状特征,如平均非球度< A3 >和尺寸比。我们的定量结果特别表明,随着参数α. 的减小,网络结构的紧致性和对称性增加。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
On the shape of Gaussian scale-free polymer networks.

We consider the model of complex hyperbranched polymer structures formed on the basis of scale-free graphs, where functionalities (degrees)kof nodes obey a power-law decaying probabilityp(k)∼k-α. Such polymer topologies can be considered as generalization of regular hierarchical dendrimer structures with fixed functionalities. The conformational size and shape characteristics, such as averaged asphericity⟨A3⟩and size ratiogof such polymer networks are obtained numerically by application of Wei's method, which defines the configurations of any complex Gaussian network in terms of eigenvalue spectra of the corresponding Kirchhoff matrix. Our quantitative results indicate, in particular, an increase of compactness and symmetry of network structures with the decrease of parameterα.

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来源期刊
Journal of Physics: Condensed Matter
Journal of Physics: Condensed Matter 物理-物理:凝聚态物理
CiteScore
5.30
自引率
7.40%
发文量
1288
审稿时长
2.1 months
期刊介绍: Journal of Physics: Condensed Matter covers the whole of condensed matter physics including soft condensed matter and nanostructures. Papers may report experimental, theoretical and simulation studies. Note that papers must contain fundamental condensed matter science: papers reporting methods of materials preparation or properties of materials without novel condensed matter content will not be accepted.
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