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Variational calculations for normal liquid \(^3\)He at finite temperature using the spin-dependent correlation function. (English) Zbl 1247.82082

Summary: By considering a spin dependence for the correlation function, the thermodynamic properties of normal liquid \(^3\)He have been investigated by employing a lowest order constrained variational approach. It is seen that the spin-singlet state has a smaller contribution in the potential energy of normal liquid \(^3\)He with respect to the spin-triplet state. It is seen that at high temperatures, the free energy of normal liquid \(^3\)He in cases of spin-dependent and spin-independent correlation functions are nearly identical. The equations of state of these two cases are nearly similar too.

MSC:

82D15 Statistical mechanics of liquids
49S05 Variational principles of physics
82B30 Statistical thermodynamics
Full Text: DOI

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