Abstract.
We consider a superconducting material that exists in the liquid state, more precisely, in which the Meissner-Ochsenfeld effect persists in the liquid state. First, we investigate how the shape of such a hypothetical Meissner liquid will adapt to accomodate for an applied external field. In particular, we analyse the case of a droplet of Meissner fluid, and compute the elongation of the droplet and its quadrupole frequency as a function of the applied field. Next, the influence of an applied field on the flow of the liquid is studied for the case of a surface wave. We derive the dispersion relation for surface waves on an incompressible Meissner fluid. We discuss some candidate realizations of the Meissner fluids and for the case of a superconducting colloid discuss which regime of wave lengths would be most affected by the Meissner effect.
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Maeyens, A., Tempere, J. Magnetohydrodynamic properties of incompressible Meissner fluids. Eur. Phys. J. B 58, 231–236 (2007). https://doi.org/10.1140/epjb/e2007-00236-x
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DOI: https://doi.org/10.1140/epjb/e2007-00236-x