Generalized relativistic second-order magnetohydrodynamics: A correlation function approach using Zubarev’s nonequilibrium statistical operator
Phys. Rev. D 113, 116023 – Published 15 June, 2026
DOI: https://doi.org/10.1103/6dz7-6kpf
Abstract
We use total energy-momentum conservation and the Bianchi identity (magnetic-flux conservation) to construct second-order relativistic magnetohydrodynamics in Zubarev’s nonequilibrium statistical operator (NESO) framework. We obtain the evolution equations for all dissipative tensors by focusing on a relativistic charge-neutral-magnetized plasma that preserves parity and is symmetric under 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 the nonlocal contributions.