A mesoscopic approach to diffusion phenomena in mixtures
-
Abstract
The mesoscopic concept is applied to the theory of mixtures. The aim is to investigate the diusion phenomenon from a mesoscopic point of view. The domain of the field quantities is extended by the set of mesoscopic variables, here the velocities of the components. Balance equations on this enlarged space are the equations of motion for the mesoscopic fields. Moreover, local distribution functions of the velocities are introduced as a statistical element, and an equation of motion for this distribution function is derived. From this equation of motion, dierential equations for the diusion fluxes and also for higher order fluxes are obtained. These equations are of balance type, as it is postulated in extended thermodynamics. The resulting evolution equation for the diusion flux generalizes Fick's law.
© Walter de Gruyter
Artikel in diesem Heft
- Acknowledgement
- Contents of Volume 30 (2005)
- Analytical Subject Index
- Index of Authors
- Density, fractal angle, and fractal dimension in linear Zn electrodeposition morphology
- Accuracy of the theoretical calculation of the Soret coefficient for water–ethanol mixtures in comparison with experimental data
- Theoretical analysis and comparison with experimentation of the molecular and thermal diffusion coefficients for a ternary hydrocarbon mixture
- Close-to-Fourier heat conduction equation of solids of constant mass density
- Metrology of the thermodiffusion coefficients in a ternary system
- A mesoscopic approach to diffusion phenomena in mixtures
Artikel in diesem Heft
- Acknowledgement
- Contents of Volume 30 (2005)
- Analytical Subject Index
- Index of Authors
- Density, fractal angle, and fractal dimension in linear Zn electrodeposition morphology
- Accuracy of the theoretical calculation of the Soret coefficient for water–ethanol mixtures in comparison with experimental data
- Theoretical analysis and comparison with experimentation of the molecular and thermal diffusion coefficients for a ternary hydrocarbon mixture
- Close-to-Fourier heat conduction equation of solids of constant mass density
- Metrology of the thermodiffusion coefficients in a ternary system
- A mesoscopic approach to diffusion phenomena in mixtures
