Thermodynamical description and vortex formation at the superfluid transition in 4He

Lidia Saluto, Maria Stella Mongiovì, Lucia Ardizzone


In this paper, a system of field equations is written, able to describe the superfluid ransition, under the hypothesis that the liquid is at rest, in the presence of heat flux and of a small production of vortices below the superfluid transition temperature. The proposed model chooses as fundamental fields the energy density, the heat flux, the averaged vortex line length per unit volume and an order parameter that controls the transition, having dimension of density. Using Liu procedure, restrictions for the constitutive quantities are obtained.


Superfluid transition, order parameter, Lagrange multipliers, liquid helium, quantum turbulence, quantized vortices.

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Copyright (c) 2019 Lidia Saluto, Maria Stella Mongiovì, Lucia Ardizzone

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