Abstract
The approach to equilibrium of the hard-sphere gas is discussed from the master-equation point of view. AnH-theorem is established, which is valid for arbitrary initial conditions.
Similar content being viewed by others
References
I. Prigogine, C. George, F. Henin, and L. Rosenfeld,Chemica Scripta 4:5 (1973).
I. Prigogine, C. George, and F. Henin,Physica 45:418 (1969).
C. George, inLectures in Statistical Physics II, Lecture Notes in Physics, Springer-Verlag, Berlin, Heidelberg, and New York (1972).
I. Prigogine, inThe Boltzmann Equation, Theory and Applications, E. G. D. Cohen and W. Thirring, eds., Springer-Verlag, Vienna and New York (1973).
P. Glansdorff and I. Prigogine,Stability, Structure and Fluctuations, Wiley-Interscience (1971).
I. Prigogine,Nature 246:67 (1973).
D. Hubert,Phys. Chem. Liquids, to appear.
D. Enskog,Svenska Vet. Akad. Hand. 63(4) (1921).
S. Chapman and T. G. Cowling,The Mathematical Theory of Non-Uniform Gases, 3rd ed., Cambridge Univ. Press, Cambridge, England (1954).
H. Van Beijeren and M. H. Ernst,Physica 68:437 (1973).
U. S. T. Choh and G. E. Uhlenbeck, Thesis, University of Michigan, 1958.
J. V. Sengers, Report presented at the Symposium on Kinetic Equations, Cornell University, June 1969.
M. Kac,Probability and Related Topics in Physical Sciences, Interscience Publishers, London (1959).
M. H. Ernst, J. R. Dorfmann, W. R. Hoeoy, and J. M. J. van Leeuwen,Physica 45:127 (1969).
F. Henin and I. Prigogine,Proc. Nat. Acad. Sci. U.S. 71(7):2618 (1974); F. Henin,Physica 76:201 (1974).
P. Allen,Physica 70:475 (1973).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Hubert, D. H-theorem for the hard-sphere gas. J Stat Phys 15, 73–83 (1976). https://doi.org/10.1007/BF01012810
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01012810