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Ricerche di Matematica

, Volume 68, Issue 2, pp 315–331 | Cite as

Second sound near lambda transition in presence of quantum vortices

  • Lidia SalutoEmail author
  • Maria Stella Mongiovì
  • David Jou
Article
  • 44 Downloads

Abstract

In this paper, temperature waves (also known as second sound) are considered, with their respective coupling with waves in the order parameter describing the transition from normal phase to superfluid phase, and with waves in the vortex length density. We analyze the coupling between these three kinds of waves and explore its relevance in situations not far from the lambda transition. In particular, the expressions for the second sound speed and second sound attenuation are explicitly obtained within some approximations, showing the influence of the order parameter and the vortex length density, which is decisive close to the transition.

Keywords

Second sound Lambda phase transition Superfluid helium Quantum vortices 

Mathematics Subject Classification

35G50 76F99 76Fxx 82D50 80A20 

Notes

Acknowledgements

The authors acknowledge the support of “National Group of Mathematical Physics, GNFM-INdAM”. D.J. acknowledges the financial support from the Dirección General de Investigación of the Spanish Ministry of Economy and Competitiveness under Grants FIS2012-13370-C02-01 and TEC2015-67462-C2-2-R and of the Direcciò General de Recerca of the Generalitat of Catalonia, under Grant 2017 SGR-1018. The results contained in the present paper have been partially presented in Wascom 2017, in hommage to Prof. Tommaso Ruggeri.

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Copyright information

© Università degli Studi di Napoli "Federico II" 2018

Authors and Affiliations

  • Lidia Saluto
    • 1
    Email author
  • Maria Stella Mongiovì
    • 2
  • David Jou
    • 3
  1. 1.Unità di Ricerca INdAM c/o DIIDUniversità degli Studi di PalermoPalermoItaly
  2. 2.Dipartimento di Innovazione Industriale e Digitale (DIID)Università degli Studi di PalermoPalermoItaly
  3. 3.Departament de FisicaUniversitat Autònoma de BarcelonaBellaterraSpain

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