Perturbation theory for quantum fluids at high temperature

B. Kumar and V.S. Giri

Physica A: Statistical Mechanics and its Applications, 1980, vol. 104, issue 1, 339-351

Abstract: A perturbation series is obtained which expresses the pressure, Ursell functions and distribution functions of a quantum fluid in terms of those of the unperturbed fluid having the same temperature and fugacity. The pair interaction potential of the unperturbed fluid is a non-analytic function of the interparticle separation. The advantage of this theory over the usual constant-density theory is that the general term of each series can be given. It is the integral of a product involving generalised Ursell functions of the unperturbed fluid and modified Ursell functions of the quantum fluid and can be conveniently represented by a graph. When this theory is applied to check the results obtained by the constant-density theory, it is found that the first quantum correction to the radial distribution function of the unperturbed fluid obtained by the latter theory needs modification.

Date: 1980
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:104:y:1980:i:1:p:339-351

DOI: 10.1016/0378-4371(80)90093-X

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