Anomalous Diffusion
Encyclopedia
Anomalous diffusion is a term used to describe a diffusion
Diffusion
Molecular diffusion, often called simply diffusion, is the thermal motion of all particles at temperatures above absolute zero. The rate of this movement is a function of temperature, viscosity of the fluid and the size of the particles...

 process with a non-linear relationship to time, in contrast to a typical diffusion process, in which the mean squared displacement (msd), σr2, of a particle is a linear function of time.

Diffusion is often described by a power law, σr2 ~ Dtα, where D is the diffusion coefficient and t is the elapsed time. In a typical diffusion process, α = 1. If α > 1, the phenomenon is called super-diffusion. Super-diffusion can be the result of active cellular transport processes. If α < 1, the particle undergoes sub-diffusion
Diffusion
Molecular diffusion, often called simply diffusion, is the thermal motion of all particles at temperatures above absolute zero. The rate of this movement is a function of temperature, viscosity of the fluid and the size of the particles...

. Sub diffusion has been proposed as a measure of macromolecular crowding in the cytoplasm
Cytoplasm
The cytoplasm is a small gel-like substance residing between the cell membrane holding all the cell's internal sub-structures , except for the nucleus. All the contents of the cells of prokaryote organisms are contained within the cytoplasm...

.

Related Topics

  • Levy flights
  • Random walks
  • Percolation
    Percolation
    In physics, chemistry and materials science, percolation concerns the movement and filtering of fluids through porous materials...

  • Long term correlations
  • long range dependencies
  • Hurst exponent
    Hurst exponent
    The Hurst exponent is used as a measure of the long term memory of time series. It relates to the autocorrelations of the time series and the rate at which these decrease as the lag between pairs of values increases....

  • Detrended fluctuatoin analysis
    Detrended fluctuation analysis
    In stochastic processes, chaos theory and time series analysis, detrended fluctuation analysis is a method for determining the statistical self-affinity of a signal. It is useful for analysing time series that appear to be long-memory processes In stochastic processes, chaos theory and time series...

    [DFA]

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