Dynamics of Vicsek fractals, models for hyperbranched polymers

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, a...

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Bibliographic Details
Published in:Physical review. E, Statistical, nonlinear, and soft matter physics Statistical, nonlinear, and soft matter physics, 2003-06, Vol.67 (6 Pt 1), p.061103-061103
Main Authors: Blumen, A, Jurjiu, A, Koslowski, Th, von Ferber, Ch
Format: Article
Language:English
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Summary: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.
ISSN:1539-3755
DOI:10.1103/physreve.67.061103