On Fick's first law and the equations of quasi-static motion governing the molecular diffusion

Details On Fick's first law and the equations of quasi-static motion governing the molecular diffusion On Fick's first law and the equations of quasi-static motion governing the molecular diffusion

2008-10-10

arxiv.org/abs/0810.1809v2

Physics

Classical Physics

Deuxi\`eme version

Scientific paper

The problem of the molecular diffusion in a biphasic fluid mixture is studied here from the two complementary points of view of Continuum Mechanics - in a somewhat different manner from Truesdell in "Mechanical basis of diffusion" (J. Chem. Physics (U.S.), 37 (1962) 2336-2344) - and that of Thermodynamics. It is established that the force involved in the 'diffusive drag', i.e. in the inter-constituent viscous friction, is necessarily linked to the relative diffusion velocity of one constituent with respect to the other. We also end up with Fick's first law, which appears to be a sufficient condition for the dissipated power associated with the diffusive motions to be positive.

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