Setting an imaginary tetragonal lattice round a dislocation, the concentration change at each lattice point was calculated in a very short time interval from the jump frequencies of solute atoms between the nearest lattice points, considering the interaction between a solute atom and the dislocation. Repeating this calculation with a high-speed computer, the forming process of a solute atmosphere round a moving dislocation and the stress effected on the dislocation by this atmosphere were obtained. This method is for a non-steady state, from which, if required, a steady state can be obtained as the limiting case.
Science reports of the Research Institutes, Tohoku University. Ser. A, Physics, chemistry and metallurgy 23 145-145, 1971