Abstract
We have applied, for the first time, the so-called static approximation (SA) on the 3He–HeII mixtures to calculate their thermodynamic properties under different conditions. For that, we have first obtained the so-called self-consistent long-range-equation. The essence of this approximation is to replace the true quantum-mechanical spectrum of the local-field operator with a distribution around the expectation value of the local-field operator. The distribution function of the fermionic particles has been found to be almost a step function up to 0.1 K. The chemical potential, pressure, and the mean internal energy per unit volume have been calculated in this temperature range with different values for the volume differential coefficient α and the effective mass m 3*. We have found that the thermodynamic properties of this system are temperature independent.
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Al-Sugheir, M.K. 3He–HeII Mixtures in the Static Approximation. International Journal of Theoretical Physics 43, 1527–1539 (2004). https://doi.org/10.1023/B:IJTP.0000048636.92996.60
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DOI: https://doi.org/10.1023/B:IJTP.0000048636.92996.60