Causality and stability of dissipative fluid dynamics with diffusion currents

摘要

We analyze the causality and stability of the fluid dynamics with diffusion currents. We compute the dispersion relation in the local rest frame and Lorentz boost one. We obtain the asymptotic causality condition in the large wave number limit. If this condition is fulfilled, the system is always stable in any frame. We also find that the divergence in the group velocity is similar to the shear modes.