Universality Classes of Relativistic Fluid Dynamics: Applications
arXiv:2302.05332 · doi:10.1103/PhysRevD.109.096041
Abstract
Using a formalism that was recently developed in a companion paper, we rigorously prove the equivalence, in the linear regime, of a number of apparently different relativistic hydrodynamic theories proposed in the literature. In particular, we show that Hydro+ is indistinguishable from the Israel-Stewart theory for bulk viscosity, which in turn is indistinguishable from a reacting mixture. The two-fluid model for superfluidity coincides with the Israel-Stewart theory for heat conduction in the limit of infinite conductivity, and this explains why the latter has a second sound. Also, MIS is equivalent to the Burgers model for viscoelasticity, and this implies that the former must exhibit an elastic behavior at high frequencies. Additionally, we show that if the degrees of freedom and the conservation laws of a hydrodynamic theory have the same geometric character as those of the Israel-Stewart theory, then such theory must be indistinguishable from the Israel-Stewart theory in the linear regime. This explains why all second-order theories turn out to be identical near equilibrium. Finally, we construct the first linearized model for a relativistic supersolid that is proven to be causal, stable, and strongly hyperbolic.
arXiv comment16 pages, published on PRD (see https://journals.aps.org/prd/abstract/10.1103/PhysRevD.109.096041), companion article to the paper entitled "Universality Classes of Relativistic Fluid Dynamics: Foundations"
References in corpus (53)
- Relativistic viscous hydrodynamics, conformal invariance, and holography
- Derivation of transient relativistic fluid dynamics from the Boltzmann equation
- Relativistic Fluid Dynamics: Physics for Many Different Scales
- Dissipative Dynamics of Highly Anisotropic Systems
- Highly-anisotropic and strongly-dissipative hydrodynamics for early stages of relativistic heavy-ion collisions
- First-order relativistic hydrodynamics is stable
- Causality and existence of solutions of relativistic viscous fluid dynamics with gravity
- Relativistic fluid dynamics with spin
- Hydro+: hydrodynamics with parametric slowing down and fluctuations near the critical point
- Nonlinear causality of general first-order relativistic viscous hydrodynamics
- Relativistic Fluids, Superfluids, Solids and Supersolids from a Coset Construction
- Relativistic third-order dissipative fluid dynamics from kinetic theory
- Differential rotation of relativistic superfluid in neutron stars
- Stable and causal relativistic Navier-Stokes equations
- Derivation of fluid dynamics from kinetic theory with the 14--moment approximation
- Variational description of multi-fluid hydrodynamics: Uncharged fluids
- Causality of the Einstein-Israel-Stewart Theory with Bulk Viscosity
- Non-resistive dissipative magnetohydrodynamics from the Boltzmann equation in the 14-moment approximation
- The Equation of State for Cool Relativistic Two-Constituent Superfluid Dynamics
- Hydrodynamics of relativisic systems with broken continuous symmetries
- Bulk viscosity of superfluid neutron stars
- Relativistic Spin Magnetohydrodynamics
- When the entropy has no maximum: A new perspective on the instability of the first-order theories of dissipation
- Chiral hydrodynamics in strong external magnetic fields
- Bounds on transport from hydrodynamic stability
- Bulk viscosity in relativistic fluids: from thermodynamics to hydrodynamics
- Transient Relativistic Fluid Dynamics in a General Hydrodynamic Frame
- Bulk viscosity in kaon-condensed color-flavor locked quark matter
- Applying the Gibbs stability criterion to relativistic hydrodynamics
- Modeling general-relativistic plasmas with collisionless moments and dissipative two-fluid magnetohydrodynamics
- Dissipative Magnetohydrodynamics for Non-Resistive Relativistic Plasmas
- Unified Extended Irreversible Thermodynamics and the stability of relativistic theories for dissipation
- Inverse-Reynolds-Dominance approach to transient fluid dynamics
- Thermodynamics of uncharged relativistic multifluids
- Symmetric-hyperbolic quasi-hydrodynamics
- The zeroth law of thermodynamics in special relativity
- Stability and causality of Carter's multifluid theory
- Viscoelastic Dynamics in Holography
- Simulating bulk viscosity in neutron stars. II. Evolution in spherical symmetry
- Multifluid Modelling of Relativistic Radiation Hydrodynamics
- Relativistic hydrodynamics with spin in the presence of electromagnetic fields
- Relativistic Liquids: GENERIC or EIT?
- Relativistic finite temperature multifluid hydrodynamics in a neutron star from a variational principle
- On the linear causality and stability of third-order relativistic dissipative fluid dynamics
- Is Relativistic Hydrodynamics always Symmetric-Hyperbolic in the Linear Regime?
- Universality Classes of Relativistic Fluid Dynamics: Foundations
- Thermodynamics of Superfluidity
- Relativistic Hydrodynamics: A Singulant Perspective
- Does quark-gluon plasma feature an extended hydrodynamic regime?
- Superfluid dynamics in neutron star crusts: the Iordanskii force and chemical gauge covariance
- Classical and relativistic dynamics of supersolids: variational principle
- Stability analysis for a thermodynamically consistent model of relativistic fluid dynamics
- Andreev-Lifshitz Supersolid Hydrodynamics Including the Diffusive Mode