Skip to main content
SpringerLink
Log in

Green's functions for superfluid3He-A in the case of spin hydrodynamics: Influence of the spin-orbit coupling

  • Published:
Journal of Low Temperature Physics Aims and scope Submit manuscript

Abstract

The spin hydrodynamic equations for superfluid3He-A for the case of external, time-dependent fields are considered. The terms in equations containing these fields are found on the basis of a microscopic approach. Considering the linear response of the system to the switching on of external fields, formulas are found for suitable Green's functions constructed from operators entering the spin hydrodynamics. The Green's function connected with the order parameter operator has a “1/q 2” singularity. Suitable connections between Green's functions lead to relations among kinetic coefficients (Onsager relations). A more detailed consideration of the spin-orbit coupling when the spin waves are not true Goldstone modes removes the mentioned singularity and the Onsager relations remain valid.

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. N. N. Bogoliubov, On hydrodynamics of a superfluid (in Russian), Dubna preprint (1963);Lectures on Quantum Statistics (Gordon and Breach, New York, 1970), Vol. 2, Chapter 3.

  2. Z. M. Galasiewicz,Superconductivity and Quantum Fluids (Pergamon Press, Oxford, 1970).

    Google Scholar 

  3. Z. M. Galasiewicz,J. Low. Temp. Phys. 57, 123 (1984).

    Google Scholar 

  4. R. Graham and H. Pleiner,Phys. Rev. Lett. 36, 792 (1975).

    Google Scholar 

  5. H. Brand, M. Dörfle, and R. Graham,Ann. Phys. (N.Y.),119, 434 (1979).

    Google Scholar 

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

    Google Scholar 

  7. N. N. Bogoliubov, Quasiaverages in problems of statistical physics (in Russian), Dubna preprint (1961);Lectures on Quantum Statistics (Gordon and Breach, New York, 1970), Vol. 2, Chapter 1.

  8. A. J. Leggett,Rev. Mod. Phys. 47, 331 (1975).

    Google Scholar 

  9. R. Graham,Phys. Rev. Lett. 33, 1431 (1974).

    Google Scholar 

  10. D. N. Zubarev,Nonequilibrium Statistical Mechanics (in Russian) (Nauka, Moscow, 1971).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Theoretical Physics, University of Wrocław, Institute of Low Temperatures and Structure Research of the Polish Academy of Sciences, Wrocław, Poland

    Z. M. Galasiewicz

  2. Départment de Physique Théorique, Université de Genève, Geneva, Switzerland

    Z. M. Galasiewicz

Authors
  1. Z. M. Galasiewicz
    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

Galasiewicz, Z.M. Green's functions for superfluid3He-A in the case of spin hydrodynamics: Influence of the spin-orbit coupling. J Low Temp Phys 72, 153–164 (1988). https://doi.org/10.1007/BF00681730

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00681730

Keywords

Search

Navigation