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Vortex oscillations and hydrodynamics of rotating superfluids

E. B. Sonin

E. B. Sonin

  • A. F. Ioffe Physical Technical Institute, Academy of Sciences of the Union of Soviet Socialist Republics, Leningrad 194021, Union of Soviet Socialist Republics

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Rev. Mod. Phys. 59, 87 – Published 1 January, 1987

DOI: https://doi.org/10.1103/RevModPhys.59.87

Abstract

This review covers the progress in the study of vortex oscillations in rotating superfluids. The paper deals with the theory as its principal concern, but the experiments that one can compare with the theory considered are also discussed. Attention is focused mainly on the effects of crystalline order in the vortex lattice (the Tkachenko waves especially) and on the boundary problems arising in studies of vortex oscillations in finite containers. The approach is based mostly on the continuum hydrodynamic theory dealing with dense vortex arrays, and considerable attention is devoted to discussion of this theory in order to understand better the principles upon which the obtained results rest. The theory is traced from the simple description of a rotating classical fluid with continuous vorticity, through that of a perfect fluid with quantized vorticity in the form of an array of vortex lines, then the two-fluid theory of an isotropic superfluid, and finally the theory of rotating anisotropic superfluids such as He3-A. Applications of the theory to He II, the superfluid phases of He3, and the superfluid neutron matter in pulsars are discussed.

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Rev. Mod. Phys. 59, 87– Published 1 January, 1987

    © 1987 American Physical Society

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