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

TL;DR

This paper develops a consistent framework for relativistic viscous hydrodynamics in multi-component systems with multiple conserved currents, crucial for analyzing hot matter in heavy ion collisions.

Contribution

It introduces a novel formulation that incorporates multiple conserved currents and particle creation/annihilation processes in relativistic hydrodynamics.

Findings

Derived constitutive equations satisfying Onsager reciprocal relations.

Ensured unambiguous description of multi-component relativistic systems.

Addressed non-trivial complexities in formulating such systems.

Abstract

We would like to formulate relativistic dissipative hydrodynamics for multi-component 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.