Abstract

Based on an assumption of the existence of an inner and gauge symmetry between two superfluid components, a phenomenological derivation of equations of relativistic superfluidity theory for systems with two types of condensates is given in a non-dissipative approximation. The effect of mutual dragging of superfluid components is considered as a consequence of interaction of condensates treated as quantum scalar fields. Thermodynamics identities for the pressure, energy and expression for the energy-momentum tensor are found. The limit of low velocities is considered.

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