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Preprints of the Keldysh Institute of Applied Mathematics, 2016, 021, 37 pp. (Mi ipmp2097)  

This article is cited in 1 scientific paper (total in 1 paper)

Solution of stochastic analog equation during non-equilibrium stage of phase transition and silicon carbide porosity

T. A. Averina, G. I. Zmievskaya, A. L. Bondareva, S. A. Khilkov
References:
Abstract: The porosity in the thin layer sample consisting of silicon carbide and metal occurs when radiation damages the crystal lattice. Vacancy-gas defects (VGDs) are formed during the phase transition, whose model is presented clustering VGDs nuclei and Brownian motion of clusters. The Ito stochastic equations system for VGDs trajectories solved using stable numerical methods and distribution functions (DFs) of sizes in the Cartesian coordinates of the lattice studied as well as local stresses in the layer of silicon carbide, due to porosity evaluated.
Keywords: stochastic equations Ito fluctuations, phase transition, porosity, kinetic equations, non-equilibrium processes.
Funding agency Grant number
Russian Foundation for Basic Research 14-01-00787_а
15-01-05052_а
14-01-00340_а
Ministry of Education and Science of the Russian Federation НШ-5111.2014.1
Document Type: Preprint
Language: Russian
Citation: T. A. Averina, G. I. Zmievskaya, A. L. Bondareva, S. A. Khilkov, “Solution of stochastic analog equation during non-equilibrium stage of phase transition and silicon carbide porosity”, Keldysh Institute preprints, 2016, 021, 37 pp.
Citation in format AMSBIB
\Bibitem{AveZmiBon16}
\by T.~A.~Averina, G.~I.~Zmievskaya, A.~L.~Bondareva, S.~A.~Khilkov
\paper Solution of stochastic analog equation during non-equilibrium stage of phase transition and silicon carbide porosity
\jour Keldysh Institute preprints
\yr 2016
\papernumber 021
\totalpages 37
\mathnet{http://mi.mathnet.ru/ipmp2097}
Linking options:
  • https://www.mathnet.ru/eng/ipmp2097
  • https://www.mathnet.ru/eng/ipmp/y2016/p21
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Препринты Института прикладной математики им. М. В. Келдыша РАН
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    Abstract page:147
    Full-text PDF :65
    References:56
     
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