Fig. 4: Mean displacement.
From: Inertial self-propelled particles in anisotropic environments
Comparison between model and measurement with excitation amplitude A = 1.28 g (upper row), A = 1.44 g (middle row), and A = 1.60 g (lower row). a The anisotropic motion of the particle is visualized by plotting the mean displacement \(\left\langle \Delta {{{{{{{\bf{r}}}}}}}}({\phi }_{0})\right\rangle\) for ϕ0 ∈ [0, 2π) and fixed times t = 0.2 s, t = 0.6 s and t = 1.0 s. Solid blue and dashed red curves show the experimental data and analytical results, respectively. Light blue area expresses the standard error of the mean. b The absolute mean displacement ∣〈Δr(t)〉∣ is plotted as a function of time t for initial orientations ϕ0 = 0 (cyan) and ϕ0 = π/2 (yellow). Solid colored curves represent the experimental data and dashed colored curves the analytic results. In addition, dashed black curves depict simulation data for a particle in confinement. Black dots correspond to the experimental values for the fixed times of Fig. 4a. Theoretical predictions and simulations use the parameters given in Table 1.
