Stability of multicomponent relativistic viscous hydrodynamics from Israel-Stewart and reproducing Denicol-Niemi-Molnar-Rischke from maximizing the entropy

The quark gluon plasma produced in heavy-ion collisions has three relevant conserved charges: baryon number (B), strangeness (S), and electric charge (Q). Here we derive the Israel-Stewart framework for BSQ diffusion coupled to shear and bulk viscosity and the thermodynamic derivatives needed to couple this to a BSQ equation of state. We reproduce a subset of the J terms in the DNMR approach (i.e., terms of order Kn-Re-1) and propose a technique to derive other terms from the maximum entropy principle. Finally, we preform a stability analysis that can be used to constraint transport coefficients in BSQ hydrodynamics.