Anomalous diffusion is a diffusion process with a non-linear relationship between the mean squared displacement (MSD), ⟨ r 2 ( τ ) ⟩ {\displaystyle \langle...

due to diffusion. A diffusion process that obeys Fick's laws is called normal or Fickian diffusion; otherwise, it is called anomalous diffusion or non-Fickian...

a diffusion process can be described by Fick's laws, it is called a normal diffusion (or Fickian diffusion); Otherwise, it is called an anomalous diffusion...

MSD=6D_{a}t^{\alpha }\,} where D a {\displaystyle D_{a}} is an anomalous diffusion coefficient. "Anomalous diffusion" commonly refers only to this very generic model...

small size (ionic radius) of the proton, explains the unusually high diffusion rate of the proton in an electric field, relative to that of other common...

fractal geometry. Fractal derivatives were created for the study of anomalous diffusion, by which traditional approaches fail to factor in the fractal nature...

Bohm diffusion as classical diffusion with an anomalous collision rate that maximizes the transport, but the physical picture is different. Anomalous diffusion...

anomalies Anomalous diffusion, the movement of molecules from a region of lower concentration to a region of higher concentration Anomalous dispersion...

polypyrrole films present fractal properties and ionic diffusion through them show anomalous diffusion pattern. PPy and related conductive polymers have two...

Anomalous diffusion – Diffusion process with a non-linear relationship to time Batchelor scale – Length scale used in fluid dynamics Bohm diffusion –...

Eddy diffusion Anomalous diffusion, the movement of particles from a region of lower concentration to a region of higher concentration Diffusion MRI Diffusion...

Ralf; Jeon, Jae-Hyung; Cherstvy, Andrey G.; Barkai, Eli (2014). "Anomalous diffusion models and their properties: non-stationarity, non-ergodicity, and...

intercompartmental transitions (hops). The complexity of this type of anomalous diffusion is further enhanced due to an inherent broad distribution of compartment...

is an Argentine-Israeli-American physicist known for his work on anomalous diffusion and ergodicity breaking. He currently is a professor in the Department...

described as deterministic fractional Brownian motion, and exhibits anomalous diffusion. Thomas, René (1999). "Deterministic chaos seen in terms of feedback...

distribution. Tsallis statistics are useful for characterising complex, anomalous diffusion. The q-deformed exponential and logarithmic functions were first...

integer derivatives Anomalous diffusion processes in complex media can be well characterized by using fractional-order diffusion equation models. The...

Chechkin, Aleksei V; Metzler, Ralf (2013), "Anomalous diffusion and ergodicity breaking in heterogeneous diffusion processes", New J. Phys., 15 (8): 083039...

associated statistics apply, the following ones can be selected: Anomalous diffusion. Uniqueness theorem. Sensitivity to initial conditions and entropy...

a Levy flight length distribution with specific values of alpha. Anomalous diffusion Fat-tailed distribution Heavy-tailed distribution Lévy process Lévy...

Sharifi-Viand, A.; Mahjani, M. G.; Jafarian, M. (2012). "Investigation of anomalous diffusion and multifractal dimensions in polypyrrole film". Journal of Electroanalytical...

Ralf; Jeon, Jae-Hyung; Cherstvy, Andrey G.; Barkai, Eli (2014). "Anomalous diffusion models and their properties: non-stationarity, non-ergodicity, and...

Recent research suggests that this bursting behavior might lead to anomalous diffusion. Pomeau, Yves; Manneville, Paul (1980). "Intermittent Transition...

dependency in DNA, and photonic band gap materials. Long-range dependency Anomalous diffusion Rescaled range Detrended fluctuation analysis Matlab code for computing...

2017 Elected as member of the French Academy of Sciences in 2017. Anomalous diffusion in disordered media: Statistical mechanisms, models and physical...

and Weiss as a generalization of physical diffusion processes to effectively describe anomalous diffusion, i.e., the super- and sub-diffusive cases....

fractional Klein-Kramers equation is a generalization that incorporates anomalous diffusion by way of fractional calculus. The physical model underlying the...

and became known as Bohm diffusion. Spitzer spent considerable effort considering this issue and concluded that the anomalous rate being seen by Bohm was...

complex networks, computational epidemiology, human mobility and anomalous diffusion. Brockmann was born in Braunschweig and studied physics and mathematics...

if the surface is allowed to pass through the vertices, as with anomalous diffusion models. Also, the eigenvalues of the area operator A are constrained...