Publication Date:
2012-11-29
Description:
In this paper, we propose a thermodynamically consistent model for superfluid-normal phase transition in liquid helium, accounting for variations of temperature and density. The phase transition is described by means of an order parameter, according to the Ginzburg–Landau theory, emphasizing the analogies between superfluidity and superconductivity. The normal component of the velocity is assumed to be compressible, and the usual phase diagram of liquid helium is recovered. Moreover, the continuity equation leads to a dependence between density and temperature in agreement with the experimental data. Content Type Journal Article Pages 1-11 DOI 10.1007/s00033-012-0280-2 Authors Alessia Berti, Facoltà di Ingegneria, Università e-Campus, 22060 Novedrate (CO), Italy Valeria Berti, Dipartimento di Matematica, Università di Bologna, Piazza di Porta S. Donato 5, 40126 Bologna, Italy Journal Zeitschrift für Angewandte Mathematik und Physik (ZAMP) Online ISSN 1420-9039 Print ISSN 0044-2275
Print ISSN:
0044-2275
Electronic ISSN:
1420-9039
Topics:
Mathematics
,
Physics
