Here, n is the number of particles in the covered-length ⟨ ⟨ ∣ ∣ r ∣ ∣ ⟩ ⟩ , and ⟨ ⟨ ∣ ∣ r ∣ ∣ ⟩ ⟩ free is the MAD of a free anomalous particle, ⟨ ⟨ ∣ ∣ r ∣ ∣ ⟩ ⟩ free ∼ ∼ t α α / 2 ) . In Eq. (20), n enters the calculations since all the particles within the distance ⟨ ⟨ ∣ ∣ r ∣ ∣ ⟩ ⟩ from the tagged one must move in the same direction in order that the tagged particle will reach a distance ⟨ ⟨ ∣ ∣ r ∣ ∣ ⟩ ⟩ from its initial position. Based on Eq. (20), we write a generalized scaling law for anomalous files of independent particles: