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Linear stability of Israel-Stewart theory in the presence of net-charge diffusion
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In this paper, we perform a linear stability analysis of Israel-Stewart theory around a global equilibrium state, including the effects of shear-stress tensor, net-baryon diffusion current and diffusion-viscous coupling. We find all the relevant modes of this theory and derive necessary conditions that these modes must satisfy in order to be stable and subluminal. With these conditions, we then derive constraints for the shear and diffusion relaxation times and the transport coefficients related to diffusion-viscous coupling.
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Causality and stability of magnetohydrodynamics for an ultrarelativistic locally neutral two-component gas
Linear stability and causality of the second-order magnetohydrodynamics from Ref. [64] are verified for any magnetic field in a locally neutral two-component massless plasma.
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