Relativistic Dissipative Fluid Dynamics from Non-Equilibrium Statistical Operator

TL;DR

This paper derives second-order relativistic dissipative fluid dynamics for quantum systems using non-equilibrium statistical operator formalism, identifying new transport coefficients and their relation to equilibrium correlations.

Contribution

It provides a novel derivation of second-order relativistic fluid dynamics with explicit expressions for relaxation terms and transport coefficients from a statistical operator perspective.

Findings

Derived second-order shear-stress tensor equations.

Identified new second-order transport coefficients.

Established Kubo-type relations for these coefficients.

Abstract

We present a new derivation of second-order relativistic dissipative fluid dynamics for quantum systems using Zubarev's formalism for the non-equilibrium statistical operator. In particular, we discuss the shear-stress tensor to second order in gradients and argue that the relaxation terms for the dissipative quantities arise from memory effects contained in the statistical operator. We also identify new transport coefficients which describe the relaxation of dissipative processes to second order and express them in terms of equilibrium correlation functions, thus establishing Kubo-type formulae for the second-order transport coefficients.