superdiffusiv
Superdiffusiv, or superdiffusion, refers to diffusion processes in which the mean squared displacement ⟨x^2(t)⟩ grows faster than linearly with time, typically as ⟨x^2(t)⟩ ∝ t^α with α > 1. This contrasts with normal diffusion (α = 1) and subdiffusion (α < 1). Superdiffusive behavior often arises from long-range correlations, persistent motion, or occasional very long jumps.
Common models include Lévy flights, which have heavy-tailed jump length distributions, and Lévy walks, which constrain
In physical and biological systems, superdiffusion describes transport and exploration patterns that spread more rapidly than
Observables include the scaling of the mean squared displacement with time, ⟨x^2(t)⟩ ∝ t^α (α>1), and the
See also: anomalous diffusion; Lévy flight; fractional Brownian motion.