Abstract
The expansion of the modified two-particle Ursell functionU(r) of a hardsphere quantal fluid is obtained in terms of a series of derivatives of δ-function. This expansion has been used to expand the second virial co-efficientB 2 of the fluid. The expansion is correct up to the fourth power in thermal wavelength and the terms of the order of λ8 and λ4 in the first expa nsion are new.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Gibson W G 1975Mol. Phys. 30 1, 13
Gibson W G and Byrnes S C 1975Phys. Rev. A11 270
Hemmer P C 1968Phys. Lett. A27 377
Hemmer P C and Mork K J 1967Phys. Rev. 158 144
Handelsmann R A and Keller J B 1966Phys, Rev. 148 94
Hill T L 1956Statistical mechanics (New York: McGraw Hill) Ch. 6
Jancovici B 1969Phys. Rev. 178 295
Jancovici B 1969Phys. Rev. 184 119
Kim S 1969Phys. Fluids 12 2046
Kumar B and Giri V S 1980Physica A104 339
Messel H and Green H S 1952Phys. Rev. 87 738
Sinha S K and Singh, Y 1977J. Math. Phys. 18 367
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Ansari, N., Kumar, B. The δ-function expansion of the modified two-particle Ursell function of a hard-sphere fluid. Pramana - J. Phys. 21, 257–260 (1983). https://doi.org/10.1007/BF02880619
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02880619