lecture2 - Ficks First Law J = D c x J flux of diffusing...

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Fick’s First Law J – flux of diffusing particles (molecules, atoms, ions, point defects, free electrons, electron holes, etc.). Flux has a direction. – concentration gradient. D – diffusion coefficient or diffusivity. x c D J = x c = L x c s L D s J 3 2 2 mole/L L mole L – length, cm or m; s - second Units: Similarity to Other Well-Known Laws Fourier’s law of heat conduction x T k J Q = where k is thermal conductivity and J Q is heat flux Ohm’s law of electrical conduction x V I = σ where is electrical conductivity and I is electrical current
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c J = D v D is a second-rank tensor. It is independent of directions in isotropic materials and cubic crystals. To determine the non-zero tensor components of a second-rank tensor for various crystal systems, please refer to “Physical Properties of Crystals”, by Nye
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This note was uploaded on 01/19/2010 for the course MAT SCI 503 taught by Professor Chen during the Spring '02 term at Penn State.

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lecture2 - Ficks First Law J = D c x J flux of diffusing...

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