A theory of first order dissipative superfluid dynamics

Understand

We determine the most general form of the equations of relativistic superfluid hydrodynamics consistent with Lorentz invariance, time-reversal invariance, the Onsager principle and the second law of thermodynamics at first order in the derivative expansion.

• Once parity is violated, either because the $U(1)$ symmetry is anomalous or as a consequence of a different parity-breaking mechanism, our results deviate from the standard textbook analysis of superfluids.
• Our general equations require the specification of twenty parameters (such as the viscosity and conductivity).
• In the limit of small relative superfluid velocities we find a seven parameter set of equations.