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From a complex scalar field to the two-fluid picture of superfluidity
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The hydrodynamic description of a superfluid is usually based on a two-fluid picture. We compute the basic properties of the relativistic two-fluid system from the underlying microscopic physics of a relativistic \varphi^4 complex scalar field theory. We work at nonzero but small temperature and weak coupling, and we neglect dissipation. We clarify the relationship between different formulations of the two-fluid model, and how they are parameterized in terms of partly redundant current and momentum 4-vectors. As an application, we compute the velocities of first and second sound at small temperatures and in the presence of a superflow. While our results are of a very general nature, we also comment on their interpretation as a step towards the hydrodynamics of the color-flavor locked state of quark matter, which, in particular in the presence of kaon condensation, appears to be a complicated multi-component fluid.
Forward citations
Cited by 2 Pith papers
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Dissipation triggers dynamical two-stream instability
Dissipation makes the relativistic two-stream instability dynamical exactly at the counterflow velocity where an ideal fluid would only show an energetic instability.
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Chiral Waves on the Fermi-Dirac Sea: Quantum Superfluidity and the Axial Anomaly
The axial anomaly implies a gapless chiral density wave that makes massless-fermion systems behave as quantum superfluids, exactly in D=2 and conditionally in D=4.
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