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EnglishA 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 the same 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 $\psi$, solution of the Ginzburg-Landau equation. In this framework, the heat flux is given by a modified Maxwell-Cattaneo equation. The restrictions on the constitutive quantities are obtained from the entropy principle, using the Liu method of Lagrange multipliers. A maximum theorem is proved that allows the model satisfy the second law of thermodynamics.
| Data di pubblicazione: | 2013 |
| Titolo: | Phase transition and lambda-line in liquid helium |
| Autori: | |
| Citazione: | Fabrizio, M., & Mongiovi', M. (2013). Phase transition and lambda-line in liquid helium. JOURNAL OF NON-EQUILIBRIUM THERMODYNAMICS, 38(38), 185-200. |
| Rivista: | |
| Digital Object Identifier (DOI): | http://dx.doi.org/10.1515/jnetdy-2013-0004 |
| Abstract: | 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 the same 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 $\psi$, solution of the Ginzburg-Landau equation. In this framework, the heat flux is given by a modified Maxwell-Cattaneo equation. The restrictions on the constitutive quantities are obtained from the entropy principle, using the Liu method of Lagrange multipliers. A maximum theorem is proved that allows the model satisfy the second law of thermodynamics. |
| Settore Scientifico Disciplinare: | Settore MAT/07 - Fisica Matematica |
| Appare nelle tipologie: | 1.01 Articolo in rivista |
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http://hdl.handle.net/10447/98213
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