Abstract
In the previous Lecture, we considered how we might approach computing the canonical partition function for a set of interacting particles. A set of approximants suggested that it might be rewarding to work with the grand canonical partition function, and to seek relationships between the pressure and the average number of particles in the system. In this Lecture, we undertake the calculation. Some key steps are given as homework problems [1].
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References
D. A. McQuarrie, Statistical Mechanics, Harper & Row, London (1976) treats these series expansions and conversions in rather more detail.
W. G. McMillan and J. E. Mayer, J. Chem. Phys. 13, 276 (1945).
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© 2000 Springer-Verlag Berlin Heidelberg
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Phillies, G.D. (2000). Ξ via the Grand Canonical Ensemble. In: Elementary Lectures in Statistical Mechanics. Graduate Texts in Contemporary Physics. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-1264-5_22
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DOI: https://doi.org/10.1007/978-1-4612-1264-5_22
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