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Linear stability of Israel-Stewart theory in the presence of net-charge diffusion

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arxiv 2007.16141 v2 pith:IUGEGAJK submitted 2020-07-31 nucl-th hep-th

classification nucl-thhep-th
keywords diffusiontheoryconditionscouplingderivediffusion-viscousisrael-stewartlinear
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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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  1. Causality and stability of magnetohydrodynamics for an ultrarelativistic locally neutral two-component gas

    nucl-th 2025-05 conditional novelty 6.0 of 10

    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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