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The Source Term of the Non-Equilibrium Statistical Operator

by 1,2
1
Institute of Physics, University of Rostock, D-18051 Rostock, Germany
2
Department of Theoretical Nuclear Physics, National Research Nuclear University (MEPhI), 115409 Moscow, Russia
Particles 2019, 2(2), 309-338; https://doi.org/10.3390/particles2020020
Received: 8 May 2019 / Revised: 3 June 2019 / Accepted: 4 June 2019 / Published: 6 June 2019
(This article belongs to the Special Issue Nonequilibrium Phenomena in Strongly Correlated Systems)
The method of Zubarev allows one to construct a statistical operator for the nonequilibrium. The von Neumann equation is modified introducing a source term that is considered as an infinitesimal small correction. This approach provides us with a very general and unified treatment of nonequilibrium processes. Considering as an example the electrical conductivity, we discuss the modification of the von Neumann equation to describe a stationary nonequilibrium process. The Zubarev approach has to be generalized to open quantum systems. The interaction of the system with the irrelevant degrees of freedom of the bath is globally described by the von Neumann equation with a finite source term. This is interpreted as a relaxation process to an appropriate relevant statistical operator. As an alternative, a quantum master equation can be worked out where the coupling to the bath is described by a dissipator. The production of entropy is analyzed. View Full-Text
Keywords: irreversibility; entropy; linear response theory; electrical conductivity irreversibility; entropy; linear response theory; electrical conductivity
MDPI and ACS Style

Röpke, G. The Source Term of the Non-Equilibrium Statistical Operator. Particles 2019, 2, 309-338.

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