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Teoreticheskaya i Matematicheskaya Fizika, 1998, Volume 115, Number 1, Pages 132–153
DOI: https://doi.org/10.4213/tmf862 (Mi tmf862) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Statistical hydrodynamics of magnetic fluids. I. The nonequilibrium statistical operator method

I. M. Mryglod, M. V. Tokarchuk

Institute for Condensed Matter Physics, National Academy of Sciences of Ukraine
Full-text PDF (279 kB) Citations (3)
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DOI: https://doi.org/10.4213/tmf862
Abstract: The Zubarev nonequilibrium statistical operator is used to describe the generalized hydrodynamic state of a magnetic fluid in an external magnetic field. The magnetic fluid is modeled with “liquid-state” and '“magnetic” subsystems described using the classical and quantum statistics methods respectively. Equations of the generalized statistical hydrodynamics for a magnetic fluid in a nonhomogeneous external magnetic field with the Heisenberg spin interaction are derived for “liquid-state” and “magnetic” subsystems characterized by different nonequilibrium temperatures. These equations can be used to describe both the weakly and strongly nonequilibrium states. Some limiting cases are analyzed in which the variables of one of the subsystems can be formally neglected
Received: 15.09.1997
Revised: 17.10.1997
English version:
Theoretical and Mathematical Physics, 1998, Volume 115, Issue 1, Pages 479–495
DOI: https://doi.org/10.1007/BF02575505
Bibliographic databases:
Language: Russian
Citation: I. M. Mryglod, M. V. Tokarchuk, “Statistical hydrodynamics of magnetic fluids. I. The nonequilibrium statistical operator method”, TMF, 115:1 (1998), 132–153; Theoret. and Math. Phys., 115:1 (1998), 479–495
Citation in format AMSBIB
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\by I.~M.~Mryglod, M.~V.~Tokarchuk
\paper Statistical hydrodynamics of magnetic fluids. I.~The nonequilibrium statistical operator method
\jour TMF
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\issue 1
\pages 132--153
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\crossref{https://doi.org/10.4213/tmf862}
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\transl
\jour Theoret. and Math. Phys.
\yr 1998
\vol 115
\issue 1
\pages 479--495
\crossref{https://doi.org/10.1007/BF02575505}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000075549000009}
Linking options:
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  • https://doi.org/10.4213/tmf862
  • https://www.mathnet.ru/eng/tmf/v115/i1/p132
    • This publication is cited in the following 3 articles:
    1. P. P. Kostrobij, B. M. Markovych, I. A. Ryzha, M. V. Tokarchuk, “Statistical theory of catalytic hydrogen oxidation processes. Basic equations”, Math. Model. Comput., 8:2 (2021), 267  crossref
    2. 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  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib
    3. B. B. Markiv, I. P. Omelyan, M. V. Tokarchuk, “Nonequilibrium statistical operator in the generalized molecular hydrodynamics of fluids”, Theoret. and Math. Phys., 154:1 (2008), 75–84  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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