Stability of multicomponent Israel-Stewart-Maxwell theory for charge diffusion
arXiv:2307.11615 · doi:10.1103/PhysRevD.108.096010
Abstract
We obtain stability criteria for diffusive inviscid multicomponent Israel-Stewart hydrodynamics with and without background or dynamic electromagnetic fields. Our analysis is grounded on the maximum entropy principle, and it provides stability conditions that are valid around all thermodynamic equilibria, including rotating equilibria, charged equilibria, and equilibria in a background gravitational field. We prove that the electromagnetic part of the information current is stable and causal by construction and, therefore, the stability criteria found for Israel-Stewart theories of hydrodynamics automatically extend to similar formulations of magnetohydrodynamics.
arXiv comment14 pages, 0 figures, published on PRD, see https://doi.org/10.1103/PhysRevD.108.096010
References in corpus (28)
- Relativistic Fluid Dynamics: Physics for Many Different Scales
- New theories of relativistic hydrodynamics in the LHC era
- First-order relativistic hydrodynamics is stable
- Differential rotation of relativistic superfluid in neutron stars
- Relativistic magnetohydrodynamics
- Variational description of multi-fluid hydrodynamics: Uncharged fluids
- Anomaly inflow and thermal equilibrium
- Resistive dissipative magnetohydrodynamics from the Boltzmann-Vlasov equation
- Non-resistive dissipative magnetohydrodynamics from the Boltzmann equation in the 14-moment approximation
- Slowly Rotating General Relativistic Superfluid Neutron Stars
- (3+1)-dimensional dissipative relativistic fluid dynamics at non-zero net baryon density
- Bounds on transport from hydrodynamic stability
- Transient Relativistic Fluid Dynamics in a General Hydrodynamic Frame
- Relativistic Dissipative Hydrodynamic Equations at the Second Order for Multi-Component Systems with Multiple Conserved Currents
- Multicomponent relativistic dissipative fluid dynamics from the Boltzmann equation
- Global numerical simulations of the rise of vortex-mediated pulsar glitches in full general relativity
- Linear stability of Israel-Stewart theory in the presence of net-charge diffusion
- Applying the Gibbs stability criterion to relativistic hydrodynamics
- Thermodynamics of uncharged relativistic multifluids
- Stability and causality of Carter's multifluid theory
- Symmetric-hyperbolic quasi-hydrodynamics
- A universal formula for the relativistic correction to the mutual friction coupling time-scale in neutron stars
- Relativistic Liquids: GENERIC or EIT?
- Charge diffusion in relativistic resistive second-order dissipative magnetohydrodynamics
- Is Relativistic Hydrodynamics always Symmetric-Hyperbolic in the Linear Regime?
- Strong cosmic censorship for solutions of the Einstein-Maxwell field equations with polarized Gowdy symmetry
- Phenomenological Relativistic Second-Order Hydrodynamics for Multiflavor Fluids
- Relativistic Viscous Hydrodynamics for Multi-Component Systems with Multiple Conserved Currents
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- Semi-Classical Spin Hydrodynamics in Flat and Curved Spacetime: Covariance, Linear Waves, and Bjorken Background
- Thermoelectric Conduction in General Relativity: A Causal, Stable, and Well Posed Theory