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On the nature of the fourth sound

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The density-density correlation function of He II bounded by solid walls is calculated in the hydrodynamic region. The migration of its poles as a function of the resistance parameter is investigated, and it is found that the fourth-sound pole can only be related to the first-sound pole far enough (ϱs00>1/9) from the critical temperature. Otherwise, it arises from a mixture of the first- and second-sound poles. The contributions of poles to the sum rules are also discussed.

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  1. 1.

    K. A. Shapiro and I. Rudnick,Phys. Rev. 137, A1383 (1965).

  2. 2.

    G. L. Pollack and J. R. Pellam,Phys. Rev. 137, A1676 (1965).

  3. 3.

    I. N. Adamenko and M. I. Kaganov,JETP 53, 615 (1967).

  4. 4.

    D. G. Sanikidze, I. N. Adamenko, and M. I. Kaganov,JETP 52, 584 (1967).

  5. 5.

    T. A. Karchava and D. G. Sanikidze,JETP 58, 1843 (1970).

  6. 6.

    H. Wiechert and L. Meinhold-Heerlein,J. Low Temp. Phys. 4, 288 (1971).

  7. 7.

    I. M. Khalatnikov,Introduction to the Theory of Superfluidity (W. A. Benjamin, New York, 1965), Chap. 9.

  8. 8.

    L. P. Kadanoff and P. C. Martin,Ann. of Phys. 24, 419 (1963).

  9. 9.

    P. C. Hohenberg and P. C. Martin,Ann. of Phys. 34, 291 (1965).

  10. 10.

    I. Rudnick,Phys. Rev. Letters 19, 488 (1967).

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Rácz, Z. On the nature of the fourth sound. J Low Temp Phys 11, 509–518 (1973). https://doi.org/10.1007/BF00656567

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  • Migration
  • Correlation Function
  • Critical Temperature
  • Magnetic Material
  • Solid Wall