Thermodynamic Properties Of A Microcanonical Ensemble Of Mixture Of Helium-3 And Helium- 4 Isotopes With Duo-Fermion Spin Degeneracy

Abstract

A system of a mixture of Helium-3 and Helium-4 was considered in a weakly interacting system in this study. The partition function with duo-fermion spin was developed to bring out the superfluid properties of the system. The partition function was used to study and analyze the thermodynamic properties such as internal energy, specific heat and entropy of the system by singling out the duo-fermion spin component. It was found out that the internal energy and entropy increases with temperature. At high temperatures, the internal energy and entropy remains constant due to particle saturation. The specific heat increases exponentially with temperature and attains a peak value of 𝟓. 𝟎𝒙𝟏𝟎𝟏𝟗 𝒆𝒍𝒆𝒄𝒕𝒓𝒐𝒏 𝑽𝒐𝒍𝒕 𝒑𝒆𝒓 𝒎𝒐𝒍𝒆 𝑲𝒆𝒍𝒗𝒊𝒏 at 37 Kelvins.