Fig. 4: Role of the timescale L/v and sampling period τ on the statistics of particle motion.
From: Feedback-controlled active brownian colloids with space-dependent rotational dynamics
a Simulated evolution of the excess kurtosis γ of the distribution of one-dimensional displacements G(x/L, Δt) with Δt for different values of L/v at a constant τ = 0.4 s. b Experimental and simulated Δt at which γ attains its maximum as a function of L/v (τ = 0.2–0.4 s). Error bars denote 95% confidence intervals. c–d Simulated evolution of γ with Δt(L/v)−1 for τ < L/v (c) and τ > L/v (d), with L = 32 μm and v = 3.5 μm s−1. The black circles corresponds to τ = 0. e–h Simulated evolution of the rescaled mean squared displacement MSD/L2 with Δt(L/v)−1 for different values of L/v and τ.
