Dynamics of swollen fractal networks

The dynamics of swollen fractal networks (Rouse model) has been studied thr ough computer simulations. The fluctuation-relaxation theorem was used inst ead of the usual Langevin approach to Brownian dynamics. We measured the eq uivalent of the mean square displacement [r(2)] and the coefficient of self -diffusion D of two- and three-dimensional Sierpinski networks and of the t wo-dimensional percolation network. The results showed an anomalous diffusi on, i.e., a power law for D, decreasing with time with an exponent; proport ional to the spectral dimension of the network.