Quasiparticle second-order dissipative hydrodynamics at finite chemical potential

TL;DR

This paper develops a second-order relativistic hydrodynamics framework incorporating baryon current and chemical potential effects, using quasiparticle and kinetic theory methods for a more realistic description of strongly interacting matter.

Contribution

It introduces a novel derivation of second-order dissipative hydrodynamics that includes finite chemical potential and baryon current effects, connecting microscopic quantum theory to macroscopic equations.

Findings

Derived a closed set of hydrodynamic equations with baryon current.

Calculated transport coefficients consistent with thermodynamics.

Extended hydrodynamics to include realistic equations of state.

Abstract

We extend the derivation of second-order relativistic viscous hydrodynamics to incorporate the effects of baryon current, a non-vanishing chemical potential, and a realistic equation of state. Starting from a microscopic quantum theory, we employ a quasiparticle approximation to describe the evolution of hydrodynamic degrees of freedom and establish its connection to the Wigner formalism. Using methods from relativistic kinetic theory, we perform a second-order expansion to derive a closed set of equations for the components of the stress-energy tensor and the baryon current. The resulting transport coefficients, which depend on the equation of state, are obtained through a unified prescription that ensures thermodynamic consistency.