Fick's first law can be used to derive his second law which in turn is identical to the diffusion equation.
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Fick's first law can be used to derive his second law which in turn is identical to the diffusion equation.
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Fick's law is analogous to the relationships discovered at the same epoch by other eminent scientists: Darcy's law, Ohm's law, and Fourier's Law .
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Fick's law experiments dealt with measuring the concentrations and fluxes of salt, diffusing between two reservoirs through tubes of water.
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Fick's first law relates the diffusive flux to the gradient of the concentration.
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In one dimension, the Fick's law can be written in various forms, where the most common form is in a molar basis:.
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Fick's second law predicts how diffusion causes the concentration to change with respect to time.
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Fick's second law has the same mathematical form as the Heat equation and its fundamental solution is the same as the Heat kernel, except switching thermal conductivity with diffusion coefficient :.
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Fick's second law is a special case of the convection–diffusion equation in which there is no advective flux and no net volumetric source.
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Equations based on Fick's law have been commonly used to model transport processes in foods, neurons, biopolymers, pharmaceuticals, porous soils, population dynamics, nuclear materials, plasma physics, and semiconductor doping processes.
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One more general framework is the Maxwell–Stefan diffusion equationsof multi-component mass transfer, from which Fick's law can be obtained as a limiting case, when the mixture is extremely dilute and every chemical species is interacting only with the bulk mixture and not with other species.
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Fick's law can be used to control and predict the diffusion by knowing how much the concentration of the dopants or chemicals move per meter and second through mathematics.
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In many realistic situations, the simple Fick's law is not an adequate formulation for the semiconductor problem.
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Fick's first law can be used to predict the changing moisture profiles across a spaghetti noodle as it hydrates during cooking.
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