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A multipolar approach to liquid helium II

Eine multipolare Betrachtungsweise von flüssigem Helium II

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Summary

Using the general framework of multipolar continuum mechanics as developed byGreen andRivlin [1], we discuss a possible alternative to the two-fluid theories of liquid helium II. We show in particular that our theory predicts the existence of second-sound waves which are attenuated in the manner obseved both in the stationary fluid and also in the rotating fluid. Moreover we suggest a possible continuum analogue of the concept of quantised vortex lines.

Zusammenfassung

Unter Verwendung der vonGreen andRivlin [1] angegebenen allgemeinen Theorie multipolarer Werkstoffe wird eine mögliche Alternative zu den Zweiphasentheorien von flüssigem Helium II diskutiert. Im speziellen wird die Existenz von Wellen mit zweiter Schallgeschwindigkeit, die in der, in stationärer wie auch in rotierender Flüssigkeit beobachteten Art abgemindert werden. Weiters wird eine mögliche Analogie des Konzepts einer gequantelten Wirbellinie vorgeschlagen.

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Atkin, R.J., Fox, N. A multipolar approach to liquid helium II. Acta Mechanica 21, 221–239 (1975). https://doi.org/10.1007/BF01181056

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