Hydrodynamic fluctuations in relativistic superfluids
arXiv:0707.2665 · doi:10.1103/PhysRevD.77.025004
Abstract
The Hamiltonian formulation of superfluids based on noncanonical Poisson brackets is studied in detail. The assumption that the momentum density is proportional to the flow of the conserved energy is shown to lead to the covariant relativistic theory previously suggested by Khalatnikov, Lebedev and Carter, and some potentials in this theory are given explicitly. We discuss hydrodynamic fluctuations in the presence of dissipative effects and we derive the corresponding set of hydrodynamic correlation functions. Kubo relations for the transport coefficients are obtained.
13 pages, no figures, two references added
References in corpus (8)
- Color superconducting quark matter
- Goldstone and Pseudo-Goldstone Bosons in Nuclear, Particle and Condensed-Matter Physics
- Hydrodynamics of relativisic systems with broken continuous symmetries
- Bulk viscosity of superfluid neutron stars
- Shear Viscosity in a CFL Quark Star
- Bulk viscosity in a cold CFL superfluid
- Superfluid phases of quark matter, II: Phenomenology and sum rules
- Hydrodynamics of nuclear matter in the chiral limit
Cited by in corpus (11)
- Holographic model of superfluidity
- Dissipative superfluid dynamics from gravity
- Inhomogeneous Structures in Holographic Superfluids: II. Vortices
- Sound modes in holographic superfluids
- Transport theory for cold relativistic superfluids from an analogue model of gravity
- Non-vanishing normal density in cold holographic superfluids
- Dissipative fracton superfluids
- Chiral anomalies in superfluid hydrodynamics
- Notes on relativistic superfluidity and gauge/string duality
- Normal charge densities in quantum critical superfluids
- Dynamic Superfluid Theory of Scalar Field and Comparing Investigations with its Corresponding Theory of Quantum Mechanics