Browsing by Author "Lusamamba, Simon Mwatulo"

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Effect of duo fermion spin on the specific heat and entropy of a mixture of helium isotopes
(Journal of Multidisciplinary Engineering Science and Technology (, 2018-10-01) Lusamamba, Simon Mwatulo; Sakwa, Thomas W.; Odhiambo, Jared Oloo
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.
Internal energy of a grand canonical ensemble of a mixture of helium isotopes with duo-fermion spin degeneracy
(Centre for Info Biotechnology-IJPMS, 2015-12-01) Lusamamba, Simon Mwatulo; Sakwa, Thomas W.; Odhiambo, Jared Oloo; Oketch, Vincent O.; Ochola, Alphayo
We have considered a system consisting of a mixture of helium isotopes 3He-4He interacting weakly in pairs. The partition function of the system with duo-spin and varying number of bosons and fermions is developed to bring out the superfluid properties of the system. The study focused on a Grand Canonical ensemble of 3He - 4He isotopes whose superfluid properties have been determined by distinctively singling out the duo spin component. The internal energy was established algebraically, analyzed and found out to be increasing with temperature. For high temperatures, internal energy remains constant due to particle saturation.
Thermodynamic Properties Of A Microcanonical Ensemble Of Mixture Of Helium-3 And Helium- 4 Isotopes With Duo-Fermion Spin Degeneracy
(Journal of Multidisciplinary Engineering Science and Technology, 2020-04-05) Chisira, Samwel Namayi; Masinde, Fred Wekesa; Makokha, John Wanjala; Lusamamba, Simon Mwatulo
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.