Abstract
The conditional probability of finding a cavityG(r) devoid of molecular centers of hard sphere fluid is modified by making use of the discontinuity atr=a/2 (a is the diameter of a molecule). The new equation of state thus obtained is bounded by the Percus-Yevick compressibility and virial pressure equations of state, which may be the upper and lower bounds to the results of machine calculation.
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This research was supported by NSF Grant GP 42614X.
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Ahn, S., Frisch, H.L. Percus-Yevick virial relation and scaled particle theory. J Stat Phys 11, 283–289 (1974). https://doi.org/10.1007/BF01009789
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DOI: https://doi.org/10.1007/BF01009789