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Statistical mechanics of dilute mixtures of 3He in superfluid 4He
Affiliation:1. Department of Chemical Engineering, I-Shou University, Ta-Hsu Hsiang, Kaohsiung 84008, Taiwan, ROC;2. Department of Chemical Engineering, Tatung University, 40 Chungshan North Road, Third Section, Taipei, Taiwan, ROC;3. Department of Chemical Engineering, National Cheng Kung University, Tainan 701, Taiwan, ROC;1. Department of Physics, Faculty of Exact and Natural Sciences, Javakhishvili Tbilisi State University (TSU), Tbilisi 0179, Georgia;2. Department of Physics and Astronomy, Heidelberg University, 69120, Heidelberg, Germany;3. Department of Physics, Florida State University, Tallahassee, FL 32306, USA;4. Department of Physics, Carnegie Mellon University, 5000 Forbes Ave., Pittsburgh, PA 15213, USA;5. TSU Andronikashvili Institute of Physics, TSU, Tbilisi 0177, Georgia;6. Abastumani Astrophysical Observatory, Ilia State University, 3/5 Cholokashvili Ave., Tbilisi 0162, Georgia
Abstract:A statistical mechanical theory of the dilute mixtures of 3He and 4He is presented. It is shown that the ground state energy is proportional to the 3He density. The chemical potential expressed in terms of the sound velocity assumes the form which has been suggested phenomenologically. From the chemical potential, the effective 3He4He interaction and osmotic pressure are derived. The effective mass of 3He is also calculated as a function of potential parameters.
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