Relativistic Dissipative Fluid Dynamics from Non-Equilibrium Statistical Operator

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.

v2: 11 pages, no figures, references added, matches published version. v1: 10 pages

References in corpus (5)

• Relativistic viscous hydrodynamics, conformal invariance, and holography
• Local thermodynamical equilibrium and the beta frame for a quantum relativistic fluid
• Kubo Formulae for Second-Order Hydrodynamic Coefficients
• Thermodynamical second-order hydrodynamic coefficients
• Relativistic Dissipative Fluid Dynamics from Non-Equilibrium Statistical Operator

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