Fluctuation theory for transport properties in multicomponent mixtures: Thermodiffusion and heat conductivity

Physica A: Statistical Mechanics and its Applications

Volumn 332, Issue 1-4, 2004, Pages 151-175

  Shapiro, A A ^a  

^a TECHNICAL UNIVERSITY OF DENMARK   (Denmark)

Author keywords

Fluctuations; Heat conductivity; Markov processes; Thermodiffusion; Transport properties

Indexed keywords

ENERGY TRANSFER; MARKOV PROCESSES; MATRIX ALGEBRA; MIXTURES; STATISTICS; THEOREM PROVING; THERMAL DIFFUSION;

DIFFUSION COEFFICIENTS; MULTICOMPONENT MIXTURES;

THERMAL CONDUCTIVITY;

EID: 0346215814     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physa.2003.10.014     Document Type: Article

References (19)

1. De Groot S.R. Thermodynamics of Irreversible Processes. 1952;North-Holland, Amsterdam.
2. Krishna R., Wesselingh J.A. Maxwell-Stefan approach to mass transfer. Chem. Eng. Sci. 52:1997;861.
3. Hirschfelder J.O., Curtiss C.F., Bird R.B. Molecular Theory of Gases and Liquids. 1954;Wiley, New York.
4. Prausnitz J.M., Lichtenthaler R.N., de Azevedo E.G. Molecular Thermodynamics of Fluid-Phase Equilibria. 1999;Prentice Hall, Englewood Cliffs, NJ.
5. Dougherty E.L., Drickamer H.G. Thermal diffusion and molecular motion in liquids. J. Phys. Chem. 59:1955;443.
6. Tichachek L.J., Kmak W.S., Drickamer H.G. Thermal diffusion in liquids. the effect of non-ideality and association J. Phys. Chem. 60:1956;660.
7. Rutherford W.M., Roof J.G. Thermal diffusion in methane-n-butane mixtures in the critical region. J. Phys. Chem. 63:1959;1506.
8. Haase R. Thermodynamics of Irreversible Processes. 1969;Addison-Wesley, Reading, MA.
9. Shukla K., Firoozabadi A. A new model of thermal diffusion coefficients in binary hydrocarbon mixtures. Ind. Eng. Chem. Res. 37:1998;3331.
10. Kempers L.J.T.M. A thermodynamic theory of the Soret effect in multicomponent liquids. J. Chem. Phys. 90:1989;6541.
11. L.J.T.M. Kempers, A comprehensive theory of the Soret effect in a multicomponent mixture, in: W. Köhler, S. Wiegand (Eds.), Lecture Notes in Physics, Vol. 584, Springer, Berlin, 2002, p. 74.
12. Bagnoli M.G., Shapiro A.A., Stenby E.H. Evaluation of the thermodynamic models for the thermal diffusion factor. Philos. Mag. 83:2003;2171.
13. Legros J.C., Goemaere P., Platten J.K. Soret coefficient and the two-component Benard convection in the benzene-methanol system. Phys. Rev. A. 32:1985;1903.
14. S. Wiegand, W. Köhler, Measurement of transport coefficients by an optical grating technique, in: W. Köhler, S. Wiegand (Eds.), Lecture Notes in Physics, Vol. 584, Springer, Berlin, 2002, p. 189.
15. Shapiro A.A. Evaluation of diffusion coefficients in multicomponent mixtures by means of the fluctuation theory. Physica A. 320:2003;211.
16. W. Feller, An Introduction to Probability Theory and Its Applications, Vol. II, Wiley, New York, 1974.
17. Shapiro A.A., Stenby E.H. Factorization of transport coefficients in macroporous media. Transp. in Porous Media. 41:2000;305.
18. Gardiner C.W. Handbook of Stochastic Methods. 1996;Springer, Berlin.
19. Mollerup J.M., Michelsen M.L. Calculation of thermodynamic equilibrium properties. Fluid Phase Equilibria. 74:1992;1.