Relativistic Viscous Hydrodynamics for Multi-Component Systems with Multiple Conserved Currents

We would like to formulate relativistic dissipative hydrodynamics for multicomponent systems with multiple conserved currents. This is important for analyses of the hot matter created in relativistic heavy ion collisions because particle creations and annihilations of various particle species are frequently taking place there. We show that consistent formulation in such systems involves many non-trivialities, and derive constitutive equations that satisfy Onsager reciprocal relations and describe the systems without ambiguity.