Dynamics of Vicsek fractals, models for hyperbranched polymers

被引：69

作者：

Blumen, A ^{[1
]}

Jurjiu, A ^{[1
]}

Koslowski, T ^{[1
]}

von Ferber, C ^{[1
]}

机构：

[1] Univ Freiburg, Inst Phys Chem, D-79104 Freiburg, Germany

来源：

PHYSICAL REVIEW E | 2003年 / 67卷 / 06期

关键词：

D O I：

10.1103/PhysRevE.67.061103

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

We consider the dynamics of Vicsek fractals of arbitrary connectivity, models for hyperbranched polymers. Their basic dynamical properties depend on their eigenvalue spectra, which can be determined iteratively. This paves the way for theoretical studies to very high precision for regular, finite, arbitrarily large hyperbranched structures.

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