Left: At fixed $A=5$⁠, a collection of 500 diffusive trajectories in the co-moving frame at velocity $v$⁠, where $v$ is taken to be the average velocity of all the trajectories. We can infer the diffusion coefficient $D$ from the variance of these trajectories as Var$(x)=2Dt$⁠. Right: log$D$ plotted against log$σ˜2$⁠. The straight line has slope $1/2$⁠, corresponding to $D∝σ˜$⁠.