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 TMF, 1979, Volume 40, Number 3, Pages 394–407 (Mi tmf2928)

Derivation of nonlinear generalized equations of quantum relativistic hydrodynamics

D. N. Zubarev, A. V. Prozorkevich, S. A. Smolyanskii

Abstract: The equations of quantum relativistic hydrodynamics, the transport relations and transport coefficients, and also the entropy balance equation are obtained dynamically in the framework of the nonequilibrium statistical operator method without the assumption that the state of the system is close to equilibrium. The laws of conservation of the energy, momentum, and total charge of a system in an external field are taken into account. The nonequilibrium state is described on the basis of the covariant quantum Liouville equation.

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English version:
Theoretical and Mathematical Physics, 1979, 40:3, 821–831

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Citation: D. N. Zubarev, A. V. Prozorkevich, S. A. Smolyanskii, “Derivation of nonlinear generalized equations of quantum relativistic hydrodynamics”, TMF, 40:3 (1979), 394–407; Theoret. and Math. Phys., 40:3 (1979), 821–831

Citation in format AMSBIB
\Bibitem{ZubProSmo79} \by D.~N.~Zubarev, A.~V.~Prozorkevich, S.~A.~Smolyanskii \paper Derivation of nonlinear generalized equations of quantum relativistic hydrodynamics \jour TMF \yr 1979 \vol 40 \issue 3 \pages 394--407 \mathnet{http://mi.mathnet.ru/tmf2928} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=549749} \transl \jour Theoret. and Math. Phys. \yr 1979 \vol 40 \issue 3 \pages 821--831 \crossref{https://doi.org/10.1007/BF01032069} \isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=A1979JN17600009} 

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Citing articles on Google Scholar: Russian citations, English citations
Related articles on Google Scholar: Russian articles, English articles

This publication is cited in the following articles:
1. M. B. Birman, D. N. Zubarev, S. A. Smolyanskii, “Quantum hydrodynamics of self-gravitating matter”, Theoret. and Math. Phys., 48:3 (1981), 796–806
2. S. A. Smolyanskii, “Quantum relativistic hydrodynamics of systems with broken symmetry II. Nonequilibrium state”, Theoret. and Math. Phys., 52:2 (1982), 809–814
3. A. V. Prozorkevich, V. L. Samorodov, S. A. Smolyanskii, “Quantum relativistic hydrodynamics of systems with broken symmetry. I. Local-equilibrium state”, Theoret. and Math. Phys., 52:3 (1982), 920–926
4. D. N. Zubarev, M. V. Tokarchuk, “Nonequilibrium thermofield dynamics and the nonequilibrium statistical operator method. I. Basic relations”, Theoret. and Math. Phys., 88:2 (1991), 876–893
5. P. A. Glushak, B. B. Markiv, M. V. Tokarchuk, “Zubarev's nonequilibrium statistical operator method in the generalized statistics of multiparticle systems”, Theoret. and Math. Phys., 194:1 (2018), 57–73
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