Journal of Experimental and Theoretical Physics
Journal Issues
Golden Pages
About This journal
Aims and Scope
Editorial Board
Manuscript Submission
Guidelines for Authors
Manuscript Status

ZhETF, Vol. 150, No. 1, p. 69 (July 2016)
(English translation - JETP, Vol. 123, No. 1, p. 59, July 2016 available online at )

Statistical theory of diffusion in concentrated BCC and FCC alloys and concentration dependences of diffusion coefficients in BCC alloys FeCu, FeMn, FeNi, and FeCr
Vaks V.G., Khromov K.Yu., Pankratov I.R., Popov V.V.

Received: March 31, 2016

DOI: 10.7868/S0044451016070087

PDF (611.8K)

The statistical theory of diffusion in concentrated BCC and FCC alloys with arbitrary pairwise interatomic interactions based on the master equation approach is developed. Vacancy-atom correlations are described using both the second-shell-jump and the nearest-neighbor-jump approximations which are shown to be usually sufficiently accurate. General expressions for Onsager coefficients in terms of microscopic interatomic interactions and some statistical averages are given. Both the analytical kinetic mean-field and the Monte Carlo methods for finding these averages are described. The theory developed is used to describe sharp concentration dependences of diffusion coefficients in several iron-based alloy systems. For the BCC alloys FeCu, FeMn, and FeNi, we predict the notable increase of the iron self-diffusion coefficient with solute concentration c, up to several times, even though values of c possible for these alloys do not exceed some percent. For the BCC alloys FeCr at high temperatures T\gtrsim 1400 K, we show that the very strong and peculiar concentration dependences of both tracer and chemical diffusion coefficients observed in these alloys can be naturally explained by the theory, without invoking exotic models discussed earlier.

Report problems