A hydrodynamical model describing the superfluid phase transition of 4He close to $\lambda$-line is presented. In the work, which generalizes a phase field model of lambda transition previously formulated by thesame authors, the independent fields are the density, the temperature, the velocity, the heat flux and a scalar function $f$, linked to the modulus of the wave-function $\psi$, solutionof the Ginzburg-Landau equation. In this framework, the heat fluxis given by a modified Maxwell-Cattaneo equation. The restrictionson the constitutive quantities are obtained from the entropyprinciple, using the Liu method of Lagrange multipliers. A maximumtheorem is proved that allows the model satisfy the second law ofthermodynamics.
|Numero di pagine||16|
|Rivista||Journal of Non-Equilibrium Thermodynamics|
|Stato di pubblicazione||Published - 2013|
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