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Particles 2018, 1(1), 155-165; https://doi.org/10.3390/particles1010011

Relativistic Dissipative Fluid Dynamics from the Non-Equilibrium Statistical Operator

1
Institute for Theoretical Physics, Goethe University, Max-von-Laue-Straße, 1, 60438 Frankfurt am Main, Germany
2
Frankfurt Institute for Advanced Studies, Ruth-Moufang-Straße, 1, 60438 Frankfurt am Main, Germany
3
Department of Modern Physics, University of Science and Technology of China, Hefei 230026, China
*
Author to whom correspondence should be addressed.
Received: 26 April 2018 / Revised: 31 May 2018 / Accepted: 19 June 2018 / Published: 21 June 2018
(This article belongs to the Special Issue Nonequilibrium Phenomena in Strongly Correlated Systems)
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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. View Full-Text
Keywords: relativistic fluid dynamics; statistical operator; non-equilibrium states; transport coefficients; correlation functions relativistic fluid dynamics; statistical operator; non-equilibrium states; transport coefficients; correlation functions
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).
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Harutyunyan, A.; Sedrakian, A.; Rischke, D.H. Relativistic Dissipative Fluid Dynamics from the Non-Equilibrium Statistical Operator. Particles 2018, 1, 155-165.

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