Skip to main content
SpringerLink
Log in

Microscopic theory of He II-He3 mixtures including dissipative processes

II. Solutions of Linearized Hydrodynamic Equations

  • Published:
Zeitschrift für Physik B Condensed Matter

Abstract

The conclusions following from the solutions of the linearized hydrodynamic equations are discussed. By using some of symmetry properties of the Green functions the kinetic coefficients coupled to the external fields are determined and some interesting informations concerning the thermodynamic derivatives of the condensate density arise. A number of the Green functions is calculated in the hydrodynamic approximation. The examination of their denominators leads to the expressions for damping of the acoustic modes in He II-He3. A set of Kubo-type formulae for the kinetic coefficients and certain sum rules are obtained.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Szprynger, A.: Z. Physik B22, 79 (1975)

    Google Scholar 

  2. Szprynger, A.: Thesis, Institute for Low Temperature and Structure Research. Wrocław (1974) (unpublished)

  3. Galasiewicz, Z.M.: Bull. Acad. Polon. Sci., Sér. Sci. Math. Astronom. Phys.22, 189 (1974)

    Google Scholar 

  4. Szprynger, A.: ibid.22, 631 (1974)

    Google Scholar 

  5. Puff, R.D.: Phys. Rev. A2, 1483 (1970)

    Google Scholar 

  6. Petru, Z.: Acta Phys. Polon.35, 49 (1969)

    Google Scholar 

  7. Szprynger, A.: Bull. Acad. Polon. Sci. Sér., Sci. Math. Astronom. Phys.22, 625 (1974)

    Google Scholar 

  8. Djeparov, F.S., Krasnikov, V.A.: Theor. and Mathem. Phys.14, 82 (1973)

    Google Scholar 

  9. Hohenberg, P.C., Martin, P.C.: Ann. Phys.34, 291 (1965)

    Google Scholar 

  10. Karchava, T.A., Sanikidze, D.G.: Zh. Eksp. Teor. Fiz.57, 1349 (1969)

    Google Scholar 

  11. Bogoliubov, N.N.: On the Hydrodynamics of a Superfluid Liquid [in Russian], JINR P-1395 Dubna (1963)

  12. Galasiewicz, Z.M.: Superconductivity and Quantum Fluids. Oxford: Pergamon Press 1970

    Google Scholar 

  13. Luttinger, J.M.: Phys. Rev. A6, 1505 (1964)

    Google Scholar 

  14. Landau, L.D., Lifschic, E.: Fluid Mechanics Pergamon Press 1959

  15. Khalatnikov, I.M.: Introduction to the Theory of Superfluidity. New York: Benjamin 1966

    Google Scholar 

  16. Galasiewicz, Z.M.: Acta Phys. Polon A40, 145, 157 (1971)

    Google Scholar 

  17. Gorkov, L.P., Pitaevskii, L.P.: Zh. Eksp. Teor. Fiz.33, 634 (1957)

    Google Scholar 

  18. Griffin, A.: Can. J. Phys.47, 429 (1969)

    Google Scholar 

  19. Khalatnikov, I.M.: Zh. Eksp. Teor. Fiz.23, 265 (1952)

    Google Scholar 

  20. Zubarev, D.N.: Nonequilibrium Statistical Thermodynamics [in Russian]. Moscow (1971)

Download references

Author information

Authors and Affiliations

  1. Institute for Low Temperature and Structure Research, Polish Academy of Sciences, Wrocław, Poland

    Andrzej Szprynger

  2. Instytut Niskich Temperatur, I Badań Strukturalnych PAN, PL-50 950, Wrocław, Poland

    Andrzej Szprynger

Authors
  1. Andrzej Szprynger
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Szprynger, A. Microscopic theory of He II-He3 mixtures including dissipative processes. Z Physik B 22, 85–92 (1975). https://doi.org/10.1007/BF01325464

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01325464

Keywords

Search

Navigation