Relativistic Liquids: GENERIC or EIT?
arXiv:2209.12865 · doi:10.1088/1361-6382/acc165
Abstract
We study the GENERIC hydrodynamic theory for relativistic liquids formulated by Ottinger and collaborators. We use the maximum entropy principle to derive its conditions for linear stability (in an arbitrary reference frame) and for relativistic causality. In addition, we show that, in the linear regime, its field equations can be recast into a symmetric-hyperbolic form. Once rewritten in this way, the linearised field equations turn out to be a particular realization of the Israel-Stewart theory, where some of the Israel-Stewart free parameters are constrained. This also allows us to reinterpret the GENERIC framework in view of the principles of Extended Irreversible Thermodynamics (EIT) and to discuss its physical relevance to model (possibly viscoelastic) fluids.
16 pages, no figures. Published in CQG, https://doi.org/10.1088/1361-6382/acc165
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Cited by in corpus (17)
- Relativistic Bulk Rheology: From Neutron Star Mergers to Viscous Cosmology
- The regime of applicability of Israel-Stewart hydrodynamics
- Universality Classes of Relativistic Fluid Dynamics: Foundations
- Relativistic bulk viscous fluids of Burgers type and their presence in neutron stars
- Gapless non-hydrodynamic modes in relativistic kinetic theory
- Stability of multicomponent Israel-Stewart-Maxwell theory for charge diffusion
- Consistent inclusion of fluctuations in first-order causal and stable relativistic hydrodynamics
- Universality Classes of Relativistic Fluid Dynamics: Applications
- Field Theory Approaches to Relativistic Hydrodynamics
- First-order relativistic hydrodynamics with an information current
- Noncovariant parabolic theories of relativistic diffusion
- Relativistic heat conduction in the large-flux regime
- Causality constraints on radiative transfer
- Extending Israel-Stewart theory: Causal bulk viscosity at large gradients
- How Lorentz boosts reshape relaxation spectra
- Solitons and singularities in relativistic ultrastiff fluids
- Perfect spinfluid: A divergence-type approach