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Preprints of the Keldysh Institute of Applied Mathematics, 2019, 150, 24 pp.
DOI: https://doi.org/10.20948/prepr-2019-150
(Mi ipmp2788)
 

Processes of microporosity formation at initial stage phase transition

G. I. Zmievskayaa, T. V. Levchenkob, G. Mainoc

a Keldysh Institute of Applied Mathematics, Russia
b All-Russian Research Geological Oil Institute, Russia
c Bologna University, Scuola di Lettere e Beni Culturali, Italy
References:
Abstract: Computer experiments of ions implantation can be applied to assess the porosity in objects of cultural heritage. The pores appear under action natural and anthropogenic factors of environment, the estimation can be made thanks to existence parameters of similarity and processes periodicity accounting. The interaction of inert gas flux of 5–10 keV ions energy with lattice of solid are discussed. Formation of porous and stressed structures is about 10–100 msec. The initial (non-equilibrium) stage of the phase transition is considered as the superposition of two random processes: Clustering of gas monomers and their Brownian motion in crystal lattice of sample consisting of several layers. At phase transition the clustering of nuclei appears in result of the inert gas implantation into lattice in form of gaseous bubbles (blisters). Kinetic equations for function the distribution of gas bubbles in the layers of SiC and Mo, are replaced by equivalent SDE Ito–Stratonovich.
Keywords: kinetic theory, stochastic simulation, porosity, silicon carbide, pore clusters, self-organization, objects cultural heritage.
Funding agency Grant number
Russian Foundation for Basic Research 18-01-00436_а
Document Type: Preprint
Language: English
Citation: G. I. Zmievskaya, T. V. Levchenko, G. Maino, “Processes of microporosity formation at initial stage phase transition”, Keldysh Institute preprints, 2019, 150, 24 pp.
Citation in format AMSBIB
\Bibitem{ZmiLevMai19}
\by G.~I.~Zmievskaya, T.~V.~Levchenko, G.~Maino
\paper Processes of microporosity formation at initial stage phase transition
\jour Keldysh Institute preprints
\yr 2019
\papernumber 150
\totalpages 24
\mathnet{http://mi.mathnet.ru/ipmp2788}
\crossref{https://doi.org/10.20948/prepr-2019-150}
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