Generalized relativistic second order magnetohydrodynamics: A correlation function approach using Zubarev's nonequilibrium statistical operator

TL;DR

This paper develops a comprehensive second-order relativistic magnetohydrodynamics framework using Zubarev's non-equilibrium statistical operator, deriving dissipative tensors and transport coefficients for magnetized plasmas with nonlocal effects.

Contribution

It introduces a systematic correlation function approach to second-order relativistic MHD, including nonlocal contributions and Kubo formulas for transport coefficients.

Findings

Derived all dissipative tensors for relativistic magnetized plasma.

Provided Kubo formulas for second-order transport coefficients.

Extended NESO formalism to include nonlocal effects.

Abstract

We use total energy-momentum conservation and the Bianchi identity (magnetic-flux conservation) to construct second-order relativistic magnetohydrodynamics in a Zubarev's non-equilibrium statistical operator (NESO) framework. We obtain all dissipative tensors in the medium by focusing on a relativistic magnetized plasma that preserves parity and is symmetric to charge-conjugation. We also provide Kubo formulas for all transport coefficients that arise at second order. Moreover, we extend the NESO formalism to systematically take into account for nonlocal contributions.