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  2. Maxwell–Stefan diffusion - Wikipedia

    en.wikipedia.org/wiki/Maxwell–Stefan_diffusion

    The Maxwell–Stefan diffusion (or Stefan–Maxwell diffusion) is a model for describing diffusion in multicomponent systems. The equations that describe these transport processes have been developed independently and in parallel by James Clerk Maxwell [ 1 ] for dilute gases and Josef Stefan [ 2 ] for liquids.

  3. Diffusion - Wikipedia

    en.wikipedia.org/wiki/Diffusion

    Diffusion models may also be used to solve inverse boundary value problems in which some information about the depositional environment is known from paleoenvironmental reconstruction and the diffusion equation is used to figure out the sediment influx and time series of landform changes.

  4. Reaction–diffusion system - Wikipedia

    en.wikipedia.org/wiki/Reaction–diffusion_system

    Reaction–diffusion systems are mathematical models that correspond to several physical phenomena. The most common is the change in space and time of the concentration of one or more chemical substances: local chemical reactions in which the substances are transformed into each other, and diffusion which causes the substances to spread out ...

  5. Molecular diffusion - Wikipedia

    en.wikipedia.org/wiki/Molecular_diffusion

    An animation describing diffusion. A tutorial on the theory behind and solution of the Diffusion Equation. NetLogo Simulation Model for Educational Use (Java Applet) Short movie on brownian motion (includes calculation of the diffusion coefficient) A basic introduction to the classical theory of volume diffusion (with figures and animations)

  6. Turing pattern - Wikipedia

    en.wikipedia.org/wiki/Turing_pattern

    Three examples of Turing patterns Six stable states from Turing equations, the last one forms Turing patterns. The Turing pattern is a concept introduced by English mathematician Alan Turing in a 1952 paper titled "The Chemical Basis of Morphogenesis" which describes how patterns in nature, such as stripes and spots, can arise naturally and autonomously from a homogeneous, uniform state.

  7. Radiative transfer equation and diffusion theory for photon ...

    en.wikipedia.org/wiki/Radiative_transfer...

    The RTE is a differential equation describing radiance (, ^,).It can be derived via conservation of energy.Briefly, the RTE states that a beam of light loses energy through divergence and extinction (including both absorption and scattering away from the beam) and gains energy from light sources in the medium and scattering directed towards the beam.

  8. Fick's laws of diffusion - Wikipedia

    en.wikipedia.org/wiki/Fick's_laws_of_diffusion

    Fick's first law relates the diffusive flux to the gradient of the concentration. It postulates that the flux goes from regions of high concentration to regions of low concentration, with a magnitude that is proportional to the concentration gradient (spatial derivative), or in simplistic terms the concept that a solute will move from a region of high concentration to a region of low ...

  9. Brownian motion - Wikipedia

    en.wikipedia.org/wiki/Brownian_motion

    Perrin was awarded the Nobel Prize in Physics in 1926 "for his work on the discontinuous structure of matter". [4] The many-body interactions that yield the Brownian pattern cannot be solved by a model accounting for every involved molecule. Consequently, only probabilistic models applied to molecular populations can be employed to describe it. [5]