Abstract
Generalization of the Boltzmann equation to a moderately dense gas leads to a new collision term which incorporates collisions among three molecules. An analysis of this three-particle collision term is presented for a gas of hard spheres and its effect on the transport properties is discussed.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
N.N. Bogoliubov, “Studies in Statistical Mechanics I”, J. de Boer and G.E. Uhlenbeck, eds. ( North-Holland Publ. Comp., Amsterdam, 1962 ), p. 5.
E.G.D. Cohen, Proceedings of this Symposium.
S. Chapman and T.G. Cowling, “The Mathematical Theory of Nonuniform Gases” (Cambridge Univ. Press, London, 3rd. ed., 1970 ).
D. Enskog, K. Svensk. Vet. Akad. Handl. 63, no. 4 (1921).
J.V. Sengers and E.G.D. Cohen, Physica 27, 230 (1961).
J.H. Jeans, “Dynamical Theory of Gases”, London 1925.
J. de Boer, Reports Progress Phys. 12, 305 (1949)
E.G.D. Cohen, Physica 28, 1025 (1962)
J. Math. Phys. 4, 183 (1963)
M.S. Green and R.A. Piccirelli, Phys. Rev. 132, 1388 (1963).
M.H. Ernst, J.R. Dorfman, W.R. Hoegy and J.M.J. van Leeuwen, Physica 45, 127 (1969).
M.S. Green, Phys. Rev. 136, A905 (1964).
J.V. Sengers, Phys. Fluids 9, 1333 (1966).
D.T. Gillespie and J.V. Sengers, in “Proc. 5th Symposium on Thermophysical Properties”, C.F. Bonilla, ed. ( ASME, New York, 1970 ), p. 42.
J.V. Sengers, M.H. Ernst and D.T. Gillespie, J. Chem. Phys. 56, 5583 (1972).
G. Sandri, R.D. Sullivan and P. Norem, Phys. Rev. Letters 13, 743 (1964).
E.G.D. Cohen, in “Boulder Lectures in Theoretical Physics”, Vol. 8A ( Univ. Colorado Press, Boulder, Colo., 1966 ), Appendix II, p. 170.
W.R. Hoegy and J.V. Sengers, Phys. Rev. A2, 2461 (1970).
J.V. Sengers, in “Boulder Lectures in Theoretical Physics”, Vol. 9C, W.E. Brittin, ed. (Gordon and Breach, New York, 1967), p. 335;
J.V. Sengers, in “Kinetic Equations”, R.I. Liboff and N. Rostoker, eds. ( Gordon and Breach, New York, 1971 ), p. 137.
D.T. Gillespie and J.V. Sengers, to be published.
W.D. Henline and D.W. Condiff, J. Chem. Phys. 54, 5346 (1971); D.W. Condiff, private communication.
J. Kestin, E. Paykoç and J.V. Sengers, Physica 54, 1 (1971).
D.R. Willis, in “Rarefied Gas Dynamics”, F.M. Devienne, ed. (Pergamon Press, New York, 1963), p.1;12, 435 (1969).
Y.P. Pao and D.R. Willis, Phys. Fluids 12, 435 (1969).
J.R. Dorfman and J.V. Sengers, Bull. Am. Phys. Soc. 15, 515 (1970)
C.F. McClure and J.R. Dorfman, Bull. Am. Phys. Soc. 17, 616 (1972).
G.E. Kelly and J.V. Sengers, J. Chem. Phys. 57, (1972).
J.R. Dorfman and E.G.D. Cohen, J. Math. Phys. 8, 282 (1967).
J.O. Hirschfelder, C.F. Curtiss and R.B. Bird, “Molecular Theory of Gases and Liquids”, ( Wiley, New York, 1954 ).
S.T. Choh and G.E. Uhlenbeck, “The Kinetic Theory of Dense Gases”, ( Univ. Michigan, 1958 ).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1973 Springer-Verlag
About this paper
Cite this paper
Sengers, J.V. (1973). The Three-Particle Collision Term in the Generalized Boltzmann Equation. In: Cohen, E.G.D., Thirring, W. (eds) The Boltzmann Equation. Acta Physica Austriaca, vol 10/1973. Springer, Vienna. https://doi.org/10.1007/978-3-7091-8336-6_10
Download citation
DOI: https://doi.org/10.1007/978-3-7091-8336-6_10
Publisher Name: Springer, Vienna
Print ISBN: 978-3-7091-8338-0
Online ISBN: 978-3-7091-8336-6
eBook Packages: Springer Book Archive