Diffusion from a constant source along nonequilibrium dislocation pipes

We propose new theoretical description of diffusion features along nonequilibrium dislocation pipes. The excess energy of nonequilibrium dislocation pipes is introduced. The effective diffusion coefficient in nonequilibrium dislocation is calculated and analyzed taking into account the relaxation processes during diffusion annealing. The equation of nonequilibrium diffusion from a constant source in dislocation pipes is derived. The analytical solution of formulated equation describing the diffusant concentration in dislocation pipe is found. The diffusant concentration and the amount of diffusant at a fixed depth increase with an increase in nonequilibrium dislocation excess energy. We observe the maximum of time dependence of diffusant concentration caused by an increase in nonequilibrium dislocation excess energy and relaxation processes during diffusion annealing. (c) 2022 Elsevier Ltd. All rights reserved.

Automated summary

This paper proposes a new theoretical description of diffusion features along nonequilibrium dislocation pipes. The effective diffusion coefficient in nonequilibrium dislocation is calculated and analyzed, taking into account the relaxation processes during diffusion annealing. The equation of nonequilibrium diffusion from a constant source in dislocation pipes is derived, and the analytical solution of the formulated equation describing the diffusant concentration in dislocation pipe is found. The concentration of diffusant and the amount of diffusant at a fixed depth increase with an increase in nonequilibrium dislocation excess energy. The time dependence of diffusant concentration shows a maximum due to an increase in nonequilibrium dislocation excess energy and relaxation processes during diffusion annealing.