Fig. 5: Collapse of the distributions of rescaled positions along the backbone. | Communications Physics

Fig. 5: Collapse of the distributions of rescaled positions along the backbone.

From: Interplay between particle trapping and heterogeneity in anomalous diffusion

Fig. 5

Each panel displays the marginal distributions ρx(ξx) of rescaled positions \({\xi }_{x}=x/\sqrt{\langle {x}^{2}(t)\rangle }\) obtained from our simulations at different time values and a specific value of the diffusion coefficient exponent η (shown within the panels). The colored curves represent kernel density estimates using Gaussian kernels with bandwidths determined according to Scott’s rule. The solid curves correspond to the theoretical predictions of Eq. (24), while the dashed lines represent the Gaussian distribution with zero mean and unit variance.

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