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Evaluation of diffusion coefficients in multicomponent mixtures by means of the fluctuation theory

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  • Shapiro, A.A.

Abstract

We derive general expressions for diffusion coefficients in multicomponent non-ideal gas or liquid mixtures. The derivation is based on the general statistical theory of fluctuations around an equilibrium state. The matrix of diffusion coefficients is expressed in terms of the equilibrium thermodynamic characteristics of the mixture (such as molar densities and internal energy), as well as in terms of the newly introduced parameters, the penetration lengths. This result serves to reduce the problem of determining the diffusion coefficients to a smaller number of physically meaningful characteristics. We demonstrate on several examples that the developed theory is in agreement with the established experimental facts and dependencies for the diffusion coefficients.

Suggested Citation

  • Shapiro, A.A., 2003. "Evaluation of diffusion coefficients in multicomponent mixtures by means of the fluctuation theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 320(C), pages 211-234.
    • Handle: RePEc:eee:phsmap:v:320:y:2003:i:c:p:211-234
    DOI: 10.1016/S0378-4371(02)01553-4
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    References listed on IDEAS

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    1. Trengove, R.D. & Dunlop, Peter J., 1982. "Diffusion coefficients and thermal diffusion factors for five binary systems of nitrogen and a noble gas," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 115(3), pages 339-352.
    2. Muschik, W. & Gümbel, S. & Kröger, M. & Öttinger, H.C., 2000. "A simple example for comparing GENERIC with rational non-equilibrium thermodynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 285(3), pages 448-466.
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    Cited by:

    1. Shapiro, A.A., 2004. "Fluctuation theory for transport properties in multicomponent mixtures: thermodiffusion and heat conductivity," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 332(C), pages 151-175.

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