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Teoreticheskaya i Matematicheskaya Fizika, 2001, Volume 129, Number 3, Pages 432–463
DOI: https://doi.org/10.4213/tmf547 (Mi tmf547) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Two-Time Temperature Green's Functions in Kinetic Theory and Molecular Hydrodynamics: III. Taking the Interaction of Hydrodynamic Fluctuations into Account

Yu. A. Tserkovnikov

Steklov Mathematical Institute, Russian Academy of Sciences
Full-text PDF (342 kB) Citations (4)
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DOI: https://doi.org/10.4213/tmf547
Abstract: We describe a systematic method for constructing equations for Green's functions in molecular hydrodynamics and kinetics problems. The method allows consecutively accounting for the contribution to the generalized kinetic coefficients due to the interaction of two, three, and more hydrodynamic modes. In contrast to the standard perturbation theory in the coupling constant, the consecutive approximations are taken with respect to the degree of higher correlations described by irreducible functions.
Received: 25.06.2001
English version:
Theoretical and Mathematical Physics, 2001, Volume 129, Issue 3, Pages 1669–1693
DOI: https://doi.org/10.1023/A:1013063317692
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: Yu. A. Tserkovnikov, “Two-Time Temperature Green's Functions in Kinetic Theory and Molecular Hydrodynamics: III. Taking the Interaction of Hydrodynamic Fluctuations into Account”, TMF, 129:3 (2001), 432–463; Theoret. and Math. Phys., 129:3 (2001), 1669–1693
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tmf547
  • https://doi.org/10.4213/tmf547
  • https://www.mathnet.ru/eng/tmf/v129/i3/p432
    Cycle of papers
    This publication is cited in the following 4 articles:
    1. Pozhar L.A., “Refraction indices of spatially nonuniform magnetic systems and nanostructures from the first principles”, Journal of Applied Physics, 107:9 (2010), 09E151  crossref  isi  scopus  scopus
    2. Liudmila A. Pozhar, “Refraction Indices of Non-Uniform Systems from the First Principles”, MRS Proc., 1223 (2009)  crossref
    3. Yu. A. Tserkovnikov, “Equations for two-temperature Green's functions for a Heisenberg ferromagnet in the mode-coupling approximation”, Theoret. and Math. Phys., 154:1 (2008), 165–174  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    4. Yu. A. Tserkovnikov, “Optimal method for truncating a chain of equations for two-time Green's functions”, Theoret. and Math. Phys., 147:3 (2006), 868–875  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    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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    Abstract page:488
    Full-text PDF :257
    References:97
    First page:3
     
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