Stability and causality of Carter's multifluid theory
arXiv:2202.06760 · doi:10.1088/1361-6382/ac79f4
Abstract
Stability and causality are studied for linear perturbations about equilibrium in Carter's multifluid theory. Our stability analysis is grounded on the requirement that the entropy of the multifluid, plus that of the environment, must be maximised at equilibrium. This allows us to compute a quadratic Lyapunov functional, whose positive definiteness implies stability. Furthermore, we verify explicitly that, also for multifluids, thermodynamic stability implies linear causality. As a notable stability condition, we find that the entrainment matrix must always be positive definite, confirming a widespread intuition.
18 pages, no figures, published on CQG see https://doi.org/10.1088/1361-6382/ac79f4
References in corpus (8)
- Bulk viscosity of superfluid neutron stars
- Entrainment parameters in cold superfluid neutron star core
- Thermal Dynamics in General Relativity
- When the entropy has no maximum: A new perspective on the instability of the first-order theories of dissipation
- Global numerical simulations of the rise of vortex-mediated pulsar glitches in full general relativity
- Applying the Gibbs stability criterion to relativistic hydrodynamics
- Unified Extended Irreversible Thermodynamics and the stability of relativistic theories for dissipation
- Superfluid dynamics in neutron star crusts: the Iordanskii force and chemical gauge covariance
Cited by in corpus (23)
- Bounds on transport from hydrodynamic stability
- Symmetric-hyperbolic quasi-hydrodynamics
- Relativistic Liquids: GENERIC or EIT?
- Relativistic Bulk Rheology: From Neutron Star Mergers to Viscous Cosmology
- Is Relativistic Hydrodynamics always Symmetric-Hyperbolic in the Linear Regime?
- Universality Classes of Relativistic Fluid Dynamics: Foundations
- Relativistic bulk viscous fluids of Burgers type and their presence in neutron stars
- Stability of multicomponent Israel-Stewart-Maxwell theory for charge diffusion
- Consistent inclusion of fluctuations in first-order causal and stable relativistic hydrodynamics
- Heat conduction in general relativity
- Universality Classes of Relativistic Fluid Dynamics: Applications
- Subluminality of relativistic quantum tunneling
- Infinite Order Hydrodynamics: An Analytical Example
- First-order relativistic hydrodynamics with an information current
- Heat propagation in rotating relativistic bodies
- Mapping GENERIC hydrodynamics into Carter's multifluid theory
- Relativistic heat conduction in the large-flux regime
- Causality constraints on radiative transfer
- Simulating bulk viscosity in neutron stars. I. Formalism
- Extending Israel-Stewart theory: Causal bulk viscosity at large gradients
- How Lorentz boosts reshape relaxation spectra
- Perfect spinfluid: A divergence-type approach
- Thermodynamic stability of superflows in General Relativity and Newtonian gravity