1201.6056 (V. G. Vaks et al.)

Statistical Derivation of Basic Equations of Diffusional Kinetics in
Alloys with Application to the Description of Diffusion of Carbon in
Austenite    [PDF]

V. G. Vaks, I. A. Zhuravlev

Basic equations of diffusional kinetics in alloys are statistically derived
using the master equation approach. To describe diffusional transformations in
substitution alloys, we derive the "quasi-equilibrium" kinetic equation which
generalizes its earlier versions by taking into account possible "interaction
renormalization" effects. For the interstitial alloys Me-X, we derive the
explicit expression for the diffusivity D of an interstitial atom X which
notably differs from those used in previous phenomenological treatments. This
microscopic expression for D is applied to describe the diffusion of carbon in
austenite basing on some simple models of carbon-carbon interaction. The
results obtained enable us to make certain conclusions about the real form of
these interactions, and about the scale of the "transition state entropy" for
diffusion of carbon in austenite.

View original: http://arxiv.org/abs/1201.6056