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Teoreticheskaya i Matematicheskaya Fizika, 2006, Volume 148, Number 2, Pages 323–336
DOI: https://doi.org/10.4213/tmf2089
(Mi tmf2089)
 

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

Nonlocal theory of surface tension in simple liquids

É. A. Arinstein

Tyumen State University
Full-text PDF (326 kB) Citations (4)
References:
Abstract: We consider a method for singling out the surface contribution in the form of a nonlocal functional of the transition-layer structure function from the general expression for the thermodynamic potential of the two-phase liquid–vapor system. A possibility of using the relation between the thermodynamic potentials of equilibrium volumetric and surface phases to modify the resulting expansion is indicated. We obtain an analogue of Euler's first integral in the variational problem for the surface-energy functional and give some estimates for the parameters characterizing the surface layer and its asymptotic properties.
Keywords: phase equilibrium, surface tension, structure function, correlation functions, thermodynamic potential.
Received: 03.08.2006
English version:
Theoretical and Mathematical Physics, 2006, Volume 148, Issue 2, Pages 1147–1158
DOI: https://doi.org/10.1007/s11232-006-0108-3
Bibliographic databases:
Language: Russian
Citation: É. A. Arinstein, “Nonlocal theory of surface tension in simple liquids”, TMF, 148:2 (2006), 323–336; Theoret. and Math. Phys., 148:2 (2006), 1147–1158
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tmf2089
  • https://doi.org/10.4213/tmf2089
  • https://www.mathnet.ru/eng/tmf/v148/i2/p323
  • This publication is cited in the following 4 articles:
    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:596
    Full-text PDF :290
    References:79
    First page:2
     
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