First order non-Lorentzian fluids, entropy production, and linear instabilities

@article{Poovuttikul2020FirstON,
  title={First order non-Lorentzian fluids, entropy production, and linear instabilities},
  author={Napat Poovuttikul and Watse Sybesma},
  journal={Physical Review D},
  year={2020},
  volume={102}
}
In this note, we investigate linear instabilities of hydrodynamics with corrections up to first order in derivatives. It has long been known that relativistic (Lorentzian) first order hydrodynamics, with positive local entropy production, exhibits unphysical instabilities. We extend this analysis to fluids with Galilean and Carrollian boost symmetries. We find that the instabilities occur in all cases, except for fluids with Galilean boost symmetry combined with the choice of macroscopic… 

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