An expedition to the islands of stability in the first-order causal hydrodynamics
arXiv:2211.11358 · doi:10.1016/j.physletb.2023.137725
Abstract
The recently proposed connection between the Lorentz invariance of stability and the speed of signal propagation has been tested for a first-order relativistic dissipative hydrodynamic theory. The fact that the stability situation in different reference frames agrees with each other only as long as the signal propagation respects causality, has been explicitly established for the theory, which is microscopically derived from the covariant kinetic equation in general hydrodynamic frames with arbitrary momentum-dependent interactions.
Accepted for the publication in Physics Letters B
References in corpus (7)
- Novel Relaxation Time Approximation to the Relativistic Boltzmann Equation
- Linear stability of Israel-Stewart theory in the presence of net-charge diffusion
- Extended relaxation time approximation and relativistic dissipative hydrodynamics
- Is first-order relativistic hydrodynamics in general frame stable and causal for arbitrary interaction?
- Relativistic hydrodynamics with momentum dependent relaxation time
- Causality and stability analysis of first-order field redefinition in relativistic hydrodynamics from kinetic theory
- Correspondence between momentum dependent relaxation time and field redefinition of relativistic hydrodynamic theory