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TMF, 2003, Volume 136, Number 2, Pages 312–323 (Mi tmf223)  

This article is cited in 4 scientific papers (total in 4 papers)

Thermodynamics and Hydrodynamics (Statistical Foundations): 4. Kinetic Processes in Multicomponent Systems

G. A. Martynov

Institute of Physical Chemistry, Russian Academy of Sciences

Abstract: We use the BBGKY hierarchy and the mass, momentum, and intrinsic energy conservation laws, which are consequences of this hierarchy, to obtain the hydrodynamic equations for multicomponent systems and the diffusion equations. We formulate several restrictions on the thermodynamic equations for irreversible processes.

Keywords: BBGKY hierarchy, thermodynamic limit, correlation sphere, multicomponent systems

DOI: https://doi.org/10.4213/tmf223

Full text: PDF file (197 kB)
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English version:
Theoretical and Mathematical Physics, 2003, 136:2, 1167–1176

Bibliographic databases:

Received: 20.05.2002

Citation: G. A. Martynov, “Thermodynamics and Hydrodynamics (Statistical Foundations): 4. Kinetic Processes in Multicomponent Systems”, TMF, 136:2 (2003), 312–323; Theoret. and Math. Phys., 136:2 (2003), 1167–1176

Citation in format AMSBIB
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\paper Thermodynamics and Hydrodynamics (Statistical Foundations): 4.~Kinetic Processes in Multicomponent Systems
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\vol 136
\issue 2
\pages 312--323
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\mathscinet{http://www.ams.org/mathscinet-getitem?mr=2025778}
\zmath{https://zbmath.org/?q=an:1178.82003}
\transl
\jour Theoret. and Math. Phys.
\yr 2003
\vol 136
\issue 2
\pages 1167--1176
\crossref{https://doi.org/10.1023/A:1025074123493}
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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. G. A. Martynov, “Statistical Theory of Equilibrium Fluctuations”, Theoret. and Math. Phys., 139:2 (2004), 706–725  mathnet  crossref  crossref  adsnasa  isi
    2. Martynov, GA, “The Ornstein-Zernike equation and critical phenomena in fluids”, Journal of Chemical Physics, 129:24 (2008), 244509  crossref  adsnasa  isi  scopus
    3. Faliagas A.C., “Certain Issues Related To the Equations of Molecular Transport By P. Kerkhof and M. Ceboers”, Chem. Eng. Sci., 123 (2015), 665–668  crossref  isi  scopus
    4. Kerkhof Piet J. A. M., “Comments on “Certain Issues Related To the Equations of Molecular Transport By P. Kerkhof and M. Geboers” By Apostol Faliagas”, Chem. Eng. Sci., 123 (2015), 669–673  crossref  isi  scopus
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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