Causal and Stable Superfluid Hydrodynamics
arXiv:2410.22855 · doi:10.1007/JHEP04(2025)172
Abstract
We investigate the linearized stability and causality properties of relativistic viscous superfluid hydrodynamics. The Landau-Lifshitz-Clark-Putterman formulation for the theory of relativistic viscous superfluids suffers from the same instability and acausality issues as the relativistic Navier-Stokes equation for normal fluids when written in the formulations of Eckart or Landau and Lifshitz. We show that conditions to ensure stability and causality can be satisfied with judicious redefinitions of the hydrodynamic variables. The conditions we obtain hold at non-zero superfluid velocity as well.
v1: 39 pages. v2: Reference updated. v3: 40 pages, added an appendix, minor presentation improvements, added references, matches version published in JHEP
References in corpus (28)
- Nonlinear Fluid Dynamics from Gravity
- Relativistic viscous hydrodynamics, conformal invariance, and holography
- Lectures on hydrodynamic fluctuations in relativistic theories
- Amplitude / Higgs Modes in Condensed Matter Physics
- Constraints on Fluid Dynamics from Equilibrium Partition Functions
- Towards hydrodynamics without an entropy current
- Holographic model of superfluidity
- First-order relativistic hydrodynamics is stable
- Causality and existence of solutions of relativistic viscous fluid dynamics with gravity
- Nonlinear causality of general first-order relativistic viscous hydrodynamics
- Relativistic magnetohydrodynamics
- Stable and causal relativistic Navier-Stokes equations
- A theory of first order dissipative superfluid dynamics
- Dissipative superfluid dynamics from gravity
- Transport in holographic superfluids
- Constraints on Superfluid Hydrodynamics from Equilibrium Partition Functions
- Rigorous bounds on transport from causality
- Bounds on transport from hydrodynamic stability
- A stable and causal model of magnetohydrodynamics
- Evolutions in first-order viscous hydrodynamics
- Causal, stable first-order viscous relativistic hydrodynamics with ideal gas microphysics
- A generalized Routh-Hurwitz criterion for the stability analysis of polynomials with complex coefficients: application to the PI-control of vibrating structures
- Non-Existence and Existence of Shock Profiles in the Bemfica-Disconzi-Noronha Model
- The Hydrohedron: Bootstrapping Relativistic Hydrodynamics
- Causality and classical dispersion relations
- Causal and stable first-order chiral hydrodynamics
- Temperature in relativistic fluids
- Field redefinition and its impact in relativistic hydrodynamics