Relativistic dissipative fluid dynamics from the non-equilibrium statistical operator

  • 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.

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Author:Arus Harutyunyan, Armen Sedrakian, Dirk-Hermann RischkeORCiDGND
Parent Title (English):Particles
Place of publication:Basel
Document Type:Article
Year of Completion:2018
Date of first Publication:2018/06/21
Publishing Institution:Universitätsbibliothek Johann Christian Senckenberg
Release Date:2019/10/24
Tag:correlation functions; non-equilibrium states; relativistic fluid dynamics; statistical operator; transport coefficients
Page Number:11
First Page:155
Last Page:165
© 2018 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (
Institutes:Physik / Physik
Dewey Decimal Classification:5 Naturwissenschaften und Mathematik / 53 Physik / 530 Physik
Licence (German):License LogoCreative Commons - Namensnennung 4.0