Dynamics of swollen fractal networks
Departamento de Física - ICEx, Universidade Federal de
CP 702, 30161-970, Belo Horizonte/MG - Brasil
Accepted: 12 November 1998
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 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.
PACS: 36.20.Ey – Conformation (statistics and dynamics) / 83.20.Jp – Computer simulation / 83.10.Nn – Polymer dynamics
© EDP Sciences, 1999