doi: 10.1685/journal.caim.425

A Ginzburg-Landau model in superfluidity

Alessia Berti, Valeria Berti

Abstract


A dynamical model for the normal-superfluid transition in 4He, accounting for variations of temperature and pressure, is proposed. The phenomenon is analyzed in the framework of Ginzburg-Landau theory characterizing the phase of the material with an order parameter related to the concentration of the superfluid particles. The constitutive choices allow one to prove the existence of a critical velocity above which superfluid properties disappear and to recover the usual phase diagram of liquid helium. The thermodynamic restrictions in the constitutive relations which ensure the Clausius-Duhem inequality have been pointed out.

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Communications in Applied and Industrial Mathematics
ISSN: 2038-0909