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Hydrodynamics of liquids of arbitrarily curved flux-lines and vortex loops

P. Benetatos·M. C. Marchetti
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Abstract

We derive a hydrodynamic model for a liquid of arbitrarily curved flux-lines and vortex loops using the mapping of the vortex liquid onto a liquid of relativistic charged quantum bosons in 2+1 dimensions recently suggested by Tesanovic and by Sudbo and collaborators. The loops in the flux-line system correspond to particle-antiparticle fluctuations in the bosons. We explicitly incorporate the externally applied magnetic field which in the boson model corresponds to a chemical potential associated with the conserved charge density of the bosons. We propose this model as a convenient and physically appealing starting point for studying the properties of the vortex liquid.

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P. Benetatos, M. C. Marchetti. 2001-01-16. Hydrodynamics of liquids of arbitrarily curved flux-lines and vortex loops. https://doi.org/10.1103/physrevb.64.054518

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