Figure 6.

Time evolution of the marginal position PDF at a volume fraction ϕ = 1.6%. Solid curves represent equation (3.15) with fitted coefficients (shown only at long times) and symbols illustrate histograms determined from simulations. Simulation parameters are those of figure 2 with D₀ = 0.245 µm² s⁻¹. Fit parameters are α = 3/2, D_α = 0.253 µm^α s⁻¹, and K = 0.0825 µm⁻¹. Red circles, t = 1 s; orange squares, t = 5 s; green triangles, t = 25 s; cyan inverted triangles or solid line, t = 50 s; purple diamonds or solid line, t = 100 s. At intermediate times t ≃ 1 s, our data resemble the measurements from Leptos et al. [6].