Abstract
We obtain and study the solution of vertical diffusion problems for a dopant applying different model approximations. We establish the area of applicability of models of diffusion with two migration paths, with and without consideration of the mutual transitions of dopant particles, and diffusion in a medium with traps.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
Literature Cited
Ya. I. Burak and E. Ya. Chaplya, “Basic principles of the mathematical model of transport of radionucleides in the surface layers of the earth,”Dop. Akad. Nauk Ukr., No. 10, 59–63 (1993).
V. M. Prokhorov,Migration of Radioactive Pollution in Soils [in Russian], Energoatomizdat, Moscow (1981).
E. Ya. Chaplya, “The model of heat-moisture transport in an aerated layer of soil taking account of gravitationally moved water”, Preprint: Akad. Nauk Ukr. Tsentr. Mat. Mod., No. 1-93, L'viv (1993).
E. Ya. Chaplya and O. Yu. Chernukha, “The kinetics of dopant transport under a local change of state of the particles. 1. Models, heterodiffusion by two paths”, Preprint: Akad. Nauk Ukr. Tsentr Mat. Mod., No. 3-93, L'viv (1993).
E. Ya. Chaplya and O. Yu. Chernukha, “Kinetics of dopant transport under local change of state of the particles. 2. Heterodiffusion by two paths in a body with traps”, Preprint: Akad. Nauk Ukr. Tsentr Mat. Mod., No. 5-93, L'viv (1993).
Additional information
Translated fromMatematichni Metodi ta Fiziko-mekhanichni Polya, Vol. 39, No. 1, 1996, pp. 60–65.
Rights and permissions
About this article
Cite this article
Chernukha, O.Y. Physico-mathematical models of heterodiffusion in a layer. J Math Sci 86, 2573–2577 (1997). https://doi.org/10.1007/BF02356099
Issue Date:
DOI: https://doi.org/10.1007/BF02356099