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Entropy and Kinetic Theory for a Confined Gas

Published online by Cambridge University Press:  20 November 2018

Jon Schnute
Jon Schnute*
Affiliation:
The University of British Columbia, Vancouver, British Columbia
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A well-known theorem in the classical kinetic theory for a gas states that the entropy is an increasing function of time. However, in order to obtain this theorem for a confined gas, some assumption about molecular response to the container wall is required. For example, it is enough to suppose that the wall reflects the molecules specularly [4].

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 27 , Issue 6 , 01 December 1975 , pp. 1271 - 1315
Copyright
Copyright © Canadian Mathematical Society 1975

References

1. Arkeryd, L., On the Boltzmann equation, part II, Arch. Rational Mech. Anal. 45 (1972), 17–34.Google Scholar
2. Cercignani, C., Mathematical methods in kinetic theory (Plenum Press, New York, 1969).Google Scholar
3. Chapman, S. and Cowling, T., The mathematical theory of non-uniform gases, 2nd edition (Cambridge University Press, Cambridge, 1952).Google Scholar
4. Grad, H., Principles of the kinetic theory of gases, Handbuch der Physik, XII, S. Flugge, editor (Springer-Verlag, Berlin, 1958).Google Scholar
5. Maxwell, J. C., On stresses in rarefied gases arising from inequalities of temperatures, Appendix. The Scientific Papers of James Clerk Maxwell, 2, 703–712, Niven, W. D., editor (Cambridge University Press, Cambridge, 1890; reprinted by Dover Publications, New York, no date).Google Scholar
6. Schnute, J. and Shinbrot, M., Kinetic theory and boundary conditions for fluids, Can. J. Math. 25 (1973), 1183–1215.Google Scholar
7. Shinbrot, M., Lectures on fluid mechanics (Gordon and Breach, New Yrork, 1973).Google Scholar
8. Truesdell, C., Rational thermodynamics (McGraw-Hill, New York, 1969).Google Scholar
9. Truesdell, C., Mathematical aspects of the kinetic theory of gases, (lecture notes, The Johns Hopkins University, Baltimore, May 1, 1973).Google Scholar