Fig. 3: Diffusive regimes in the hybrid comb model. | Communications Physics

Fig. 3: Diffusive regimes in the hybrid comb model.

From: Interplay between particle trapping and heterogeneity in anomalous diffusion

Fig. 3

ah Time evolution of the mean squared displacement 〈x2(t)〉 obtained from the simulations for eight distinct values of the diffusion coefficient exponent η ( − 3/2, − 1, − 1/2, − 1/4, 0, 1/2, 1, 3/2). In these log-log plots, circles represent results obtained from our in silico experiments, solid lines display the adjusted power-law relationships, and dashed lines indicate the behavior of the usual comb model. i Relationship between the diffusive exponent αx and the diffusion coefficient exponent η. The black dashed curve represents the exact result of Eq. (21). The circles represent simulated results, with the gray shaded band indicating the standard error of the estimate for αx. The horizontal solid line marks the boundary between superdiffusion (blue background) and subdiffusion (red background), while the horizontal dashed line indicates the subdiffusive regime of the usual comb model.

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