Can we make sense of dissipation without causality?
arXiv:2111.05254 · doi:10.1103/PhysRevX.12.041001
Abstract
Relativity opens the door to a counter-intuitive fact: a state can be stable to perturbations in one frame of reference, and unstable in another one. For this reason, the job of testing the stability of states that are not Lorentz-invariant can be very cumbersome. We show that two observers can disagree on whether a state is stable or unstable only if the perturbations can exit the light-cone. Furthermore, we show that, if a perturbation exits the light-cone, and its intensity changes with time, due to dissipation, then there are always two observers that disagree on the stability of the state. Hence, ''stability'' is a Lorentz-invariant property of dissipative theories if and only if the principle of causality is respected. We present 14 applications to physical problems from all areas of relativistic physics, ranging from theory to simulation.
arXiv comment20 pages (main text) + 3 pages (supplementary material); 8 captioned figures. Published of Physical Review X, see https://journals.aps.org/prx/abstract/10.1103/PhysRevX.12.041001
References in corpus (44)
- Relativistic viscous hydrodynamics, conformal invariance, and holography
- Derivation of transient relativistic fluid dynamics from the Boltzmann equation
- k-Essence, superluminal propagation, causality and emergent geometry
- New theories of relativistic hydrodynamics in the LHC era
- 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
- Semi-implicit scheme for treating radiation under M1 closure in general relativistic conservative fluid dynamics codes
- Does stability of relativistic dissipative fluid dynamics imply causality?
- Differential rotation of relativistic superfluid in neutron stars
- Phenomenological Review on Quark-Gluon Plasma: Concepts vs. Observations
- Origin of the Relaxation Time in Dissipative Fluid Dynamics
- Variational description of multi-fluid hydrodynamics: Uncharged fluids
- Relativistic Radiation Magnetohydrodynamics in Dynamical Spacetimes: Numerical Methods and Tests
- On the Causality and Stability of the Relativistic Diffusion Equation
- Nonlinear Constraints on Relativistic Fluids Far From Equilibrium
- Gravitational waves from remnant massive neutron stars of binary neutron star merger: Viscous hydrodynamics effects
- The Equation of State for Cool Relativistic Two-Constituent Superfluid Dynamics
- Coupling hydrodynamics to nonequilibrium degrees of freedom in strongly interacting quark-gluon plasma
- The Relaxation Effect in Dissipative Relativistic Fluid Theories
- Hydrodynamics of relativisic systems with broken continuous symmetries
- First order and stable relativistic dissipative hydrodynamics
- Relativistic hydrodynamics - causality and stability
- When the entropy has no maximum: A new perspective on the instability of the first-order theories of dissipation
- Causality violations in realistic simulations of heavy-ion collisions
- Relativistic Viscous Radiation Hydrodynamic Simulations of Geometrically Thin Disks: I. Thermal and Other Instabilities
- Bulk viscosity in relativistic fluids: from thermodynamics to hydrodynamics
- Bulk viscosity of superfluid hyperon stars
- Applying the Gibbs stability criterion to relativistic hydrodynamics
- Thermodynamic equilibrium in relativity: four-temperature, Killing vectors and Lie derivatives
- Unified Extended Irreversible Thermodynamics and the stability of relativistic theories for dissipation
- A consistent first-order model for relativistic heat flow
- Multifluid Modelling of Relativistic Radiation Hydrodynamics
- On the linear causality and stability of third-order relativistic dissipative fluid dynamics
- A covariant approach to relativistic large-eddy simulations: The fibration picture
- The relativistic Euler equations: Remarkable null structures and regularity properties
- Superfluid dynamics in neutron star crusts: the Iordanskii force and chemical gauge covariance
- Proving the Lorentz invariance of the entropy and the covariance of thermodynamics
- Causality in Dense Matter
- Stability analysis for a thermodynamically consistent model of relativistic fluid dynamics
- Application of superconducting-superfluid magnetohydrodynamics to nuclear "pasta" in neutron stars
- Anomalous Hall instability in the Chern-Simons magnetohydrodynamics
- Thermodynamics and flow-frames for dissipative relativistic fluids
- Rotating solutions of nonideal transverse Chern-Simons magnetohydrodynamics and the anomalous Hall current
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- Transient Relativistic Fluid Dynamics in a General Hydrodynamic Frame
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- Cosmological consequences of first-order general-relativistic viscous fluid dynamics
- Subluminality of relativistic quantum tunneling
- Boosting unstable particles