1999
DOI: 10.5488/cmp.2.2.351
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PHYSICAL PROCESSES IN THE FUEL CONTAINING MASSES INTERACTING WITH AQUEOUS SOLUTIONS IN THE "SHELTER" OBJECT. INHOMOGENEOUS DIFFUSION OF IONS UO_{2}^{2+}, Cs^{+} IN THE SYSTEM "GLASSY NUCLEAR MAGMA - WATER"

Abstract: The influence of water on the glassy nuclear magma of the Chornobyl reactor is discussed. To describe it the simplest model for the "glassy nuclear magma-water" system is formulated. Inhomogeneous position-dependent diffusion coefficients are calculated near the interface of the system

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Cited by 4 publications
(4 citation statements)
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“…At the same time, an important feature of these systems is their significant spatial heterogeneity, when the diffusion coefficients are functions of spatial coordinates and time, that is, temporal correlation functions "stream -stream" ĵ(r l ; t) ĵ(r l ′ ; t ′ ) in each of the phases and between phases. It should be noted that some way of calculating the diffusion coefficients of ions depending on the coordinates for the systems "electrolyte solution -membrane", "electrolyte solution -vitreous fuel-containing materials", "electrolyte solution -soil" was proposed in [34][35][36]. In [14,27], a statistical theory was proposed to describe electrodiffusion ion transfer processes in the system "electrolyte -electrode " taking into account the spatial inhomogeneities and memory effects using the nonequilibrium method statistical operator (NSO).…”
Section: Introductionmentioning
confidence: 99%
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“…At the same time, an important feature of these systems is their significant spatial heterogeneity, when the diffusion coefficients are functions of spatial coordinates and time, that is, temporal correlation functions "stream -stream" ĵ(r l ; t) ĵ(r l ′ ; t ′ ) in each of the phases and between phases. It should be noted that some way of calculating the diffusion coefficients of ions depending on the coordinates for the systems "electrolyte solution -membrane", "electrolyte solution -vitreous fuel-containing materials", "electrolyte solution -soil" was proposed in [34][35][36]. In [14,27], a statistical theory was proposed to describe electrodiffusion ion transfer processes in the system "electrolyte -electrode " taking into account the spatial inhomogeneities and memory effects using the nonequilibrium method statistical operator (NSO).…”
Section: Introductionmentioning
confidence: 99%
“…From the point of view of theoretical research, the generalized equations of electrodiffusion of Cattaneo type in fractional derivatives [31] were applied. However, in most of the mentioned works, except for [34][35][36], in the corresponding transfer equations, the transfer coefficients: diffusion, viscosity, and thermal conductivity, which determine the main mechanisms of transfer processes, are constants at the corresponding temperatures. Obviously, to elucidate such mechanisms, it is very important to apply such theoretical approaches that link the transfer coefficients with the characteristic potentials of the interaction of particles and their distribution functions.…”
Section: Introductionmentioning
confidence: 99%
“…It should be noted that some way of calculating the diffusion coefficients of ions depending on the coordinates for the systems "electrolyte solution -membrane", "electrolyte solutionvitreous fuel-containing materials", "electrolyte solution -soil" was proposed in. [34][35][36] In, 14,27 a statistical theory was proposed to describe electrodiffusion ion transfer processes in the system "electrolyte -electrode " taking into account the spatial inhomogeneities and memory effects using the nonequilibrium method statistical operator (NSO). In, 14,28,29,31 experimental and theoretical study of subdiffusion impedance for multilayer system GaSe with encapsulated β-cyclodextrin having a porous fractal structure was carried out.…”
Section: Introductionmentioning
confidence: 99%
“…One of the central scientific and political interests and activities of the academician, the member of Ukrainian Parliament I.R.Yukhnovskii are the problems connected with Chornobyl accident. Under his supervision there were investigated: conditions of nuclear fuel in the 4-th reactor [1][2][3][4] after the accident; physical and chemical processes of interaction of fuel-containing masses with water and a problems of hydrogen and radiolysis [3,[5][6][7]; processes of radionuclide migration [8,9] in the site "Shelter" ("Sarcophagus") and in aqueous solutions in the soil of the Chornobyl zone. Many of his scientific conclusions have proved to be true concerning the mechanisms of the destruction fuel-containing masses (FCM), an exit from them and accumulation of uranium, plutonium in aqueous solutions of the site "Shelter".…”
mentioning
confidence: 99%