Effect of duo fermion spin on the specific heat and entropy of a mixture of helium isotopes

Abstract

Spin normally determines the character, rate of collision and subsequently the properties of ultracold systems. This study investigated the effect of double spin degeneracy on the thermodynamic properties of Helium-3 and Helium-4 isotopes specifically the specific heat and entropy of a grand canonical ensemble. The approach used was statistical in nature where permutation and exclusion was done on fermions and bosons. From thermodynamics, the expression of partition function which was used to derive other expressions of specific heat and entropy as temperature dependence. Specific heat and entropy were found to increase with temperature. The kink in specific heat at a temperature of 35K implied that there was a phase transition.