Figure 3.

MSD of an animal with varying amount of directional persistence in immobile circular boundaries. Depending on the value of the parameter ξ = vT/ρ, by plotting equation (3.2), it is possible to observe three qualitatively different time dependencies. For ξ < 0.12, the MSD appears monotonic, whereas it displays non-monotonicity for ξ ≥ 0.12. By using the same definition for under- and over-damped dynamics as in figure 2, we notice that when 0.12 ≤ ξ < 0.20, the time dependence is over-damped, whereas it is under-damped when ξ ≥ 0.20. Solid line, ξ = 0.35; dashed line, ξ = 0.18; dash-dotted line, ξ = 0.1.