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Iordanskii and Lifshitz-Pitaevskii Forces in the Two-Fluid Model

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Abstract

It has been known since the pioneering work of Onsager and Feynman that the statistical mechanics and dynamics of vortices play an essential role in the behavior of superfluids and superconductors. However, the theory of vortices in quantum fluids remains in a most unsatisfactory state, with many conflicting results in the literature. In this paper we review the theory of Thouless, Ao and Niu, which gives an expression for the total transverse force acting on a quantized vortex that is in apparent disagreement with the word of lordanskii and of Lifshitz and Pitaevskii. In particular, no transverse force proportional to the asymptotic normal fluid velocity was found. We use two-fluid hydrodynamics to study this discrepancy.

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Authors and Affiliations

  1. Department of Physics, University of Georgia, Athens, GA, 30602, USA

    M. R. Geller

  2. Department of Physics, University of Washington, Seattle, WA, 98195, USA

    D. J. Thouless & S. W. Rhee

  3. School of Physics, University of Birmingham, Birmingham, B15 2TT, UK

    W. F. Vinen

Authors
  1. M. R. Geller
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  2. D. J. Thouless
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  3. S. W. Rhee
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  4. W. F. Vinen
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Geller, M.R., Thouless, D.J., Rhee, S.W. et al. Iordanskii and Lifshitz-Pitaevskii Forces in the Two-Fluid Model. Journal of Low Temperature Physics 121, 411–416 (2000). https://doi.org/10.1023/A:1017553814235

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  • DOI: https://doi.org/10.1023/A:1017553814235

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