KINETIC EVOLUTION OF A 3D SPHERICAL CRYSTAL WITH MOBILE PARTICLES USING MONTE CARLO

Abstract

In this work, the migration of the 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 particles mobilities ( M_p) were used. It was found that the grain size reaches a critical radius (R_c) which depends exclusively on f . This dependence can be written as: R_c ∝ f ^1/3 . The dynamic equation of grain size evolution and its analytical solution were also found. The analytical solution successfully fits the simulation results. The particles fraction in the grain boundary was also found analytically and it fits with the computational data.