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arXiv · 1407.7523

Dynamics of swollen fractal networks

Alvaro V. N. C. Teixeira·Pedro Licinio
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Abstract

The dynamics of swollen fractal networks (Rouse model) has been studied through computer simulations. The fluctuation-relaxation theorem was used instead of the usual Langevin approach to Brownian dynamics. We measured the equivalent of the mean square displacement $\langle \vec r^{\,2} \rangle$ and the coefficient of self-diffusion $D$ of two-and three-dimensional Sierpinski networks and of the two-dimensional percolation network. The results showed an anomalous diffusion, i. e., a power law for $D$, decreasing with time with an exponent proportional to the spectral dimension of the network.

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Alvaro V. N. C. Teixeira, Pedro Licinio. 2014-07-28. Dynamics of swollen fractal networks. https://doi.org/10.1209/epl/i1999-00141-0

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