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Stability of the vortex lattice in a rotating superfluid

Condensed Matter 2009-10-22 v1

Abstract

We analyze the stability of the vortex lattice in a rotating superfluid against thermal fluctuations associated with the long-wavelength Tkachenko modes of the lattice. Inclusion of only the two-dimensional modes leads formally to instability in infinite lattices; however, when the full three-dimensional spectrum of modes is taken into account, the thermally-induced lattice displacements are indeed finite.

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Cite

@article{arxiv.cond-mat/9412066,
  title  = {Stability of the vortex lattice in a rotating superfluid},
  author = {Gordon Baym},
  journal= {arXiv preprint arXiv:cond-mat/9412066},
  year   = {2009}
}

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16 pages