FIG. 6.

Time dependence of the ratio $\sqrt{{\sigma }_x^2\left(t\right)}/〈x\left(t\right)〉$ at v = 0.01 (panel (a)) and v = 10 (panels (b) and (c)) for several values of the dead-end length, L, indicated near the curves. In the normal regime (finite L), all curves go from infinity to zero, whereas in the anomalous regime (infinite L), the curves go from infinity to $\sqrt{\left(\pi -2\right)/2}$. When v is not too small, the curves are non-monotonic, having a minimum and a maximum in the normal regime and only a minimum in the anomalous regime. Panels (b) and (c) show the same curves on different time scales. The only exception is the curve for L = 5, which is shown only in panel (c) to illustrate the minimum and maximum in the time dependence of the ratio $\sqrt{{\sigma }_x^2\left(t\right)}/〈x\left(t\right)〉$. In panel (c), all the curves with L = 50,  100,  150, and ∞ collapse to the same curve since the particle is “unaware” about the length of the dead ends on these times.