Causality and stability in first-order conformal anisotropic hydrodynamics
arXiv:2304.14563 · doi:10.1103/PhysRevD.108.056004
Abstract
We formulate the first-order dissipative anisotropic hydrodynamical theory for a relativistic conformal uncharged fluid, which generalizes the Bemfica-Disconzi-Noronha-Kovtun first-order viscous fluid framework. Our approach maintains causal behavior in the nonlinear regime with or without general relativity coupling, and we derive and analyze the constraints on transport coefficients imposed by causality. We demonstrate the causal and stable behavior of our theory in specific cases, including the discussion of nonlinear causality as well as stability for linearized perturbations. We apply our newly developed first-order anisotropic theory to the Bjorken flow and show how causality and stability impose constraints on the behavior of the early-time attractor.
arXiv commentMatches the published version
References in corpus (33)
- Relativistic viscous hydrodynamics, conformal invariance, and holography
- Derivation of transient relativistic fluid dynamics from the Boltzmann equation
- Dissipative Dynamics of Highly Anisotropic Systems
- Hydrodynamics Beyond the Gradient Expansion: Resurgence and Resummation
- Constraints on Fluid Dynamics from Equilibrium Partition Functions
- Towards hydrodynamics without an entropy current
- 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
- Nonlinear causality of general first-order relativistic viscous hydrodynamics
- Entropy Current in Conformal Hydrodynamics
- Anisotropic Hydrodynamics, Bulk Viscosities and R-Modes of Strange Quark Stars with Strong Magnetic Fields
- Second-order (2+1)-dimensional anisotropic hydrodynamics
- Stable and causal relativistic Navier-Stokes equations
- Bulk Properties of a Fermi Gas in a Magnetic Field
- Far-from-equilibrium attractors and nonlinear dynamical systems approach to the Gubser flow
- Relativistic anisotropic hydrodynamics
- Resistive dissipative magnetohydrodynamics from the Boltzmann-Vlasov equation
- Derivation of anisotropic dissipative fluid dynamics from the Boltzmann equation
- The influence of strong magnetic fields on proto-quark stars
- Closing the equations of motion of anisotropic fluid dynamics by a judicious choice of moment of the Boltzmann equation
- Dynamical systems and nonlinear transient rheology of the far-from-equilibrium Bjorken flow
- Causality violations in realistic simulations of heavy-ion collisions
- Non-perturbative rheological behavior of a far-from-equilibrium expanding plasma
- Exploring theoretical uncertainties in the hydrodynamic description of relativistic heavy-ion collisions
- Fluctuating relativistic dissipative hydrodynamics as a gauge theory
- A stable and causal model of magnetohydrodynamics
- Transasymptotics and hydrodynamization of the Fokker-Planck equation for gluons
- Charge diffusion in relativistic resistive second-order dissipative magnetohydrodynamics
- Conformal Bjorken flow in the general frame and its attractor: Similarities and discrepancies with the Müller-Israel-Stewart formalism
- Cosmological consequences of first-order general-relativistic viscous fluid dynamics
- Novel features of attractors and transseries in non-conformal Bjorken flows
- Metric anisotropies and emergent anisotropic hydrodynamics