THE COUPLING OF CHARGED SUPERFLUID MIXTURES TO THE ELECTROMAGNETIC-FIELD

The system of equations that describes the macroscopic properties of a mixture of superfluids is derived by generalizing the equations of Andreev and Bashkin to include new vorticity-preserving forces. The affects of these forces on the dynamics is investigated by using a macroscopic phenomenological approach developed by Bekarevich and Khalatnikov. A Hamiltonian formulation of the theory is developed and used to couple the charged components of the fluid to the electromagnetic field. The physically relevant values of the additional vorticity-preserving forces are determined by requiring that each component of the superfluid mixture responds to the electromagnetic field via an appropriate Lorentz force. © 1991.