Influence of anisotropy of the diffusion coefficient on the asymptotic behavior of a spatial atom distribution in structures with complex geometry

Obtained by the method of continual integration in the optimal trajectory approximation is the asymptotic behavior of the Green's function of the Fick equation with anisotropic diffusion coefficient in structures with complex geometry when the domain boundary is impermeable to the diffusing particles. Using the expression found for the Green's function, topological properties of the equal-concentration surfaces, particularly the topological singularities of a diffusion p-n-junction, are determined by means of the given initial distribution of the diffusing atoms.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 5, pp. 9–12, May, 1988.