Figure 2.

(A) The mean-square displacement 〈Δx²(t)〉 of a particle along the axis of a tube with periodic spherical dead ends (inset). The system parameters in dimensionless units: tube and cavity radii are 0.8 and 1.5, respectively; intercavity distance is 2; radius of the apertures connecting the tube with the cavities is 0.1; and particle diffusion coefficient in free space is 1. (Dotted and dashed straight lines) Short- and long-time asymptotic behaviors of 〈Δx²(t)〉, respectively. (B) The three exponents α_fit(t), α_int(t), and α_dif(t) obtained by interpreting the transient behavior of 〈Δx²(t)〉 as anomalous subdiffusion. (Inset) The exponents as functions of log t. To see this figure in color, go online.