Theoretical and computer models of three-dimensional grain boundary migration with mobile particles-Reference-Cited by-同舟云学术

Theoretical and computer models of three-dimensional grain boundary migration with mobile particles

Published:2022-04 Issue:4 Volume:100 Page:212-217
ISSN:0008-4204
Container-title:Canadian Journal of Physics
language:en
Short-container-title:Can. J. Phys.

Author:

Di Prinzio Carlos Leonardo¹²,Achával Pastor Ignacio¹

Affiliation:

1. FAMAF (Facultad de Matemática, Astronomía, Física y Computación), Universidad Nacional de Córdoba, Medina Allende y Haya de la Torre, Ciudad Universitaria, Córdoba 5000. Argentina.

2. IFEG-CONICET (Instituto de Física “Enrique Gaviola”, Universidad Nacional de Córdoba, Medina Allende y Haya de la Torre, Ciudad Universitaria, Córdoba 5000, Argentina.

Abstract

In this work, the migration of a three-dimensional (3D) spherical crystal in the presence of mobile particles using a Monte Carlo algorithm was studied. Different concentrations of particles (f) and different particle mobilities (Mp) were used. It was found that the grain size reaches a critical radius (Rc), which depends exclusively on f. This dependence can be written as Rc ∝ f1/3. The dynamic equation of grain size evolution and its analytical solution were also found. The proposed analytical solution successfully fits the simulation results. The particle fraction in the grain boundary was also found analytically and it fits the computational data.

Publisher

Canadian Science Publishing

Subject

General Physics and Astronomy

Link

https://cdnsciencepub.com/doi/pdf/10.1139/cjp-2020-0599

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