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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 ...
In 1855, he introduced Fick's laws of diffusion, which govern the diffusion of a gas across a fluid membrane. In 1870, he was the first to measure cardiac output, using what is now called the Fick principle. Fick managed to double-publish his law of diffusion, as it applied equally to physiology and physics.
Deposition due to Brownian motion obeys both Fick's first and second laws. The resulting deposition flux is defined as =, where J is deposition flux, n is the initial number density, D is the diffusion constant and t is time. This can be integrated to determine the concentration at each moment of time.
The diffusion equation is a parabolic partial differential equation.In physics, it describes the macroscopic behavior of many micro-particles in Brownian motion, resulting from the random movements and collisions of the particles (see Fick's laws of diffusion).
It represents a generalization to Fick's second law (see Fick's laws of diffusion), in presence of turbulent diffusion and advection by the mean flow. That is the reason why down-gradient eddy diffusion models are often referred to as "Fickian", emphasizing this mathematical similarity.
Fick principle, technique for measuring the cardiac output; Fick's law of diffusion, describing the diffusion; tonometer, both useful in music and ophthalmology; Adolf Gaston Eugen Fick (1852–1937), German ophthalmologist nephew of Adolf Eugen Fick, inventor of the contact lens. August Fick (1833–1916), German philologist
Fick's laws of diffusion is used to relate the diffusion of oxidized and reduced species to the faradaic current used to describe redox processes. Fick's law is most commonly written in terms of moles, and is as follows: = Where:
The Maxwell–Stefan diffusion (or Stefan–Maxwell diffusion) is a Law for describing The multicomponent systems. The Espionage 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.