Linear stability of Israel-Stewart theory in the presence of net-charge diffusion
Caio V. P. de Brito, Gabriel S. Denicol
Abstract
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.
Topics & Concepts
DiffusionCoupling (piping)Linear stabilityRelaxation (psychology)Stability (learning theory)Charge (physics)Statistical physicsCauchy stress tensorTensor (intrinsic definition)PhysicsSteady state (chemistry)MechanicsMathematicsClassical mechanicsThermodynamicsChemistryGeometryMaterials scienceComputer scienceQuantum mechanicsInstabilityMetallurgyPhysical chemistryMachine learningPsychologySocial psychologyHigh-Energy Particle Collisions ResearchSuperconductivity in MgB2 and AlloysPhysics of Superconductivity and Magnetism