Fig 3. Characterization of the TD² dataset.

(A) Illustration of the dynamics at various timescales in ACT_002. The Voronoï cells (dashed white) and the displacements of a particle at τ = 1, 10 and 100 are overlaid. (B) Geometric probability of incursion p_inc (red) and distribution of the reduced displacement ρ at three different timescales τ (black) in ACT_002. The probability of incursion P_inc is the intersection of the areas under the two curves. (C) P_inc as a function of τ for the whole dataset (symbols). The solid lines are fits with a logistic function (see text). (D) Scaling of the reduced quantities P_inc/L as a function of $k.log\left(\frac{\tau }{{\tau }_0}\right)$ on the standard logistic sigmoid function (solid black). (E) Classification of the movies in the dataset by increasing values of τ₁ as defined by Eq (4), with fitting parameters determined over a logarithmic scale for P_inc. Movies with τ₁ < 1 are undersampled while movies with τ₁ > 1 are oversampled. (F) Comparison of P_inc(τ) for different levels of degradation δ (symbols) and corresponding logistic fits (solid curves) in ACT_002. (G-I) Evolutions of the fitting parameters L, k and τ₀ as a function of the degration δ in ACT_002.