Abstract
It is shown that the repulsive core present in realistic two-body potentials and in hard spheres leads to the rapid suppression of the effects of statistics in the second virial coefficient, except at very low temperatures. For hard spheres, an upper bound is obtained which goes down exponentially with temperature when the latter becomes large.
Work performed in part under the auspices of the U. S. Atomic Energy Commission.
This work was completed at Los Alamos Scientific Laboratory while serving as consultant.
This work was supported by Air Force Office of Scientific Research Grant No. AF-AFOSR-713-64.
Summer student from the Digital Computer Laboratory, University of Illinois, Urbana, Illinois.
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See J. O. Hirschfelder, C. F. Curtis, and R. B. Bird, Molecular Theory of Gases and Liquids (John Wiley & Sons, Inc., New York, 1954) with special reference to the article by J. deBoer and R. Byron Bird on the quantum theory and the equation of state.
S. G. Brush, Rev. Mod. Phys. 33, 79 (1961). Especially relevant is the discussion pertinent to and centered about Eq. (2.13); see also Eqs. (5.4) and (5.5). temperatures we obtain the asymptotic expansion
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© 1965 Springer-Verlag Berlin Heidelberg
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Larsen, S.Y., Kilpatrick, J.E., Lieb, E.H., Jordan, H.F. (1965). Suppression at High Temperature of Effects Due to Statistics in the Second Virial Coefficient of a Real Gas. In: Nachtergaele, B., Solovej, J.P., Yngvason, J. (eds) Statistical Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-10018-9_4
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DOI: https://doi.org/10.1007/978-3-662-10018-9_4
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