Figure 1.

The survival function (the complement of the cumulative distribution) of ‘move’ lengths travelled between consecutive turns (solid line). Shown for comparison are the maximum-likelihood power-law (dashed line) and exponential (dotted line) distributions. A straight line on this log–log plot is indicative of power-law scaling. Here, approximate power-law scaling is seen to extend over about two decades. Data are shown for one-dimensional movement patterns produced by the Langevin equation with σ = 1 and T = 10. The Langevin equation was integrated numerically with a time step Δt = 0.01 arbitrary time units.