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Superfluidity of helium-3
Authors:Tian Ma
Institution:a Department of Mathematics, Sichuan University, Chengdu, PR China
b Department of Mathematics, Indiana University, Bloomington, IN 47405, United States
Abstract:This article presents a phenomenological dynamic phase transition theory-modeling and analysis-for liquid helium-3. We derived two new models, for liquid helium-3 with or without applied field, by introducing three wave functions and using a unified dynamical Ginzburg-Landau model. The analysis of these new models leads to predictions of existence of (1) a metastable region, (2) a new phase C in a narrow region, and (3) switch points of transition types on the coexistence curves near two triple points. It is hoped that these predictions will be useful for designing better physical experiments and lead to better understanding of the physical mechanism of superfluidity.
Keywords:Helium-3  Helium-4  Dynamic phase transition  Lambda point  Time-dependent Ginzburg-Landau models  Dynamic transition theory
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