In this work the transition from normal liquid helium I to superfluid liquid helium II, controlled by temperature and pressure, is studied in the simplified assumption of absence of viscosity. A macroscopic thermodynamical model is presented, which chooses as new independent fields the heat flux q and a phase field function f. For the heat flux a modification of Cattaneo equation is written, while for the function f a time dependent Ginzburg-Landau equation is proposed.
Fabrizio, M., Mongiovi, M.S. (2012). Transition to superfluidity in liquid 4He. In Bollettino di matematica pura ed applicata. Volume V (pp. 17-28). Roma : Aracne.
Transition to superfluidity in liquid 4He
MONGIOVI', Maria Stella
2012-01-01
Abstract
In this work the transition from normal liquid helium I to superfluid liquid helium II, controlled by temperature and pressure, is studied in the simplified assumption of absence of viscosity. A macroscopic thermodynamical model is presented, which chooses as new independent fields the heat flux q and a phase field function f. For the heat flux a modification of Cattaneo equation is written, while for the function f a time dependent Ginzburg-Landau equation is proposed.
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