Abstract
The Chapman-Enskog method is used to obtain an approximate velocity distribution function for tracer diffusion in dilute hard-sphere mixtures. Different ratios of the mass of the tracer to that of the excess component (including the well-known limiting cases of the Lorentz and the Rayleigh models) are considered and the corresponding diffusion coefficients are also evaluated. A comparison with the recent results of Tompson and Loyalka for both the diffusion coefficients and the distribution functions provides a perspective on the usefulness and nature of the approximate method.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
S. Chapman and T. G. Cowling,The Mathematical Theory of Non-Uniform Gases (Cambridge University Press, Cambridge, 1970).
J. H. Ferziger and G. H. Kaper,Mathematical Theory of Transport Processes in Gases (North-Holland, Amsterdam, 1972).
L. Boltzmann,Wien Ber. 66(2):275 (1982).
S. Chapman,Philos. Trans. R. Soc. Lond. 216:279 (1915);217:115 (1916).
D. Enskog, Dissertation, Upsala (1917).
H. A. Lorentz,Arch. Néerl. 10:336 (1905).
Lord Rayleigh,Philos. Mag. 32:424 (1891).
R. V. Tompson and S. K. Loyalka,Phys. Fluids 30:2073 (1987).
F. B. Pidduck,Proc. Lond. Math. Soc. 15:89 (1915).
M. López de Haro and E. G. D. Cohen,J. Chem. Phys. 80:408 (1984).
M. López de Haro,Kinam 6A:93 (1984).
C. L. Pekeris,Proc. Natl. Acad. Sci. USA 41:661 (1955).
M. J. Lindenfeld and B. Shizgal,Chem. Phys. 41:81 (1979).
C. S. Wang Chang and G. E. Uhlenbeck, inStudies in Statistical Mechanics, Vol. V. J. de Boer and G. E. Uhlenbeck, eds. (North-Holland, Amsterdam, 1970), pp. 76–98.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
de Haro, M.L. Chapman-Enskog velocity distribution for tracer diffusion. J Stat Phys 57, 907–920 (1989). https://doi.org/10.1007/BF01022840
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01022840