Meissner State in Classical Ideal Charged Fluid

Abstract

It is shown that a model of a superconductor as a classical ideal charged fluid at constant uniform temperature in a uniform compensating positively charged background exhibits the Meissner state with the correct value of the penetration depth. The differences between this model and the textbook classical model that fails to predict the Meissner state are discussed, as are the similarities of this model to the coupled Schrodinger-Maxwell model, which does predict flux exclusion. In particular, this model does not neglect the pressure term and terms that are bilinear in the velocity in the fluid equations; these terms are essential to the results.