Springer Nature is making SARS-CoV-2 and COVID-19 research free. View research | View latest news | Sign up for updates

Pressure diffusion and sound absorption in spin-polarized quantum systems


Pressure diffusion and related phenomena are studied in the cases of Fermi liquids and dilute gases with arbitary degree of quantum degeneracy. An equation is derived expressing the (spin) pressure diffusion ratio through partial viscosities of (spin) components of systems. The exact values of corresponding transport coefficients are given for the cases of spin-polarized Boltzmann or degenerate quantum gases and spin-polarized Fermi liquids. The influence of surface slip effects on diffusion properties of spin-polarized quantum systems is discussed. The results may be used for gaseous and liquid3He,3He ↑ -4He solutions, gases H ↑ and D ↑, and other spin-polarized or binary quantum systems.

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


  1. 1.

    A. E. Meyerovich, inProgress in Low Temperature Physics, Vol. 11, D. F. Brewer, eds (North Holland, Amsterdam, 1987), pp. 1–73; inAnomalous Phases of 3 He, W. P. Halperin and L. P. Pitaevski, eds. (North-Holland, Amsterdam, to be published).

  2. 2.

    L. D. Landau and E. M. Lifshitz,Fluid Mechanics (Pergamon, New York, 1978).

  3. 3.

    A. E. Meyerovich,J. Low Temp. Phys. 47, 271 (1982);53, 487 (1983).

  4. 4.

    V. Zhdanov, Yu. Kagan, and A. Sazykin,Sov. Phys. JETP 15, 596 (1962) [Zh. Eksp. Teor. Fiz. 42, 857 (1962)].

  5. 5.

    J. O. Hirschfelder, C. F. Curtis, and R. B. Bird,Molecular Theory of Gases and Liquids (Wiley, New York, 1954).

  6. 6.

    C. Lhuillier and F. Laloe,J. Phys. (Paris)43, 197, 225 (1982).

  7. 7.

    W. J. Mullin and K. Miyake,J. Low Temp. Phys. 53, 313 (1983).

  8. 8.

    J. W. Jeon and W. J. Mullin,J. Low Temp. Phys. 67, 421 (1987).

  9. 9.

    R. J. Curch, J. R. Owers-Bradley, P. C. Main, T. M. M. Hampson, M. McHale, and R. M. Bowley,Jpn. J. Appl. Phys. 26 (Suppl. 26-3), 209 (1987); T. M. M. Hampson, R. M. Bowley, D. Brugel, and G. McHale,J. Low Temp. Phys., to be published.

  10. 10.

    A. E. Meyerovich,Phys. Lett. A 69, 279 (1978).

  11. 11.

    R. H. Anderson, C. J. Pethick, and K. F. Quader,Phys. Rev. B 35, 1620 (1987).

  12. 12.

    E. M. Lifshitz and L. P. Pitaevski,Physical Kinetics (Pergamon Press, Oxford, 1981), §14.

  13. 13.

    J. P. Breton,Physica 50, 365 (1970); V. M. Zhdanov and V. A. Zaznoba,Prikladnaya Mat. Mekh. 45, 1063 (1981).

  14. 14.

    H. H. Jensen, H. Smith, P. Wölfle, K. Nagai, and T. M. Bisgaard,J. Low Temp. Phys. 41, 473 (1980).

  15. 15.

    W. J. Mullin,Phys. Rev. Lett. 57, 2710 (1986).

  16. 16.

    A. E. Meyerovich,Pis'ma Zh. Eksp. Teor. Fiz. 46, 77 (1987) [Sov. Phys. JETP Lett. 46 (1987)].

  17. 17.

    M. Leduc, P. J. Nacher, D. S. Betts, J. M. Daniels, G. Tastevin, and F. Laloë,Europhys. Lett. 4, 59 (1987).

Download references

Author information

Rights and permissions

Reprints and Permissions

About this article

Cite this article

Ivanova, K.D., Meyerovich, A.E. Pressure diffusion and sound absorption in spin-polarized quantum systems. J Low Temp Phys 72, 461–475 (1988).

Download citation


  • Viscosity
  • Quantum System
  • Surface Slip
  • Related Phenomenon
  • Transport Coefficient