Fig. 3: Mean square distance for Sierpiński carpet. | Communications Physics

Fig. 3: Mean square distance for Sierpiński carpet.

From: Anomalous quantum transport in fractal lattices

Fig. 3

For a fifth generation G(5) Sierpiński carpet lattice, we show the mean square distance MSD(t) as a function of time. The initial state is conformed by a particle on a corner of the lattice and evolves freely. There is a fit region with slope α = 1.804 ± 0.001. J is the hopping term between each connected site and a is the distance between neighbor sites. The error on the exponent α is associated with the fit parameters error.

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