Open AccessKINETIC EVOLUTION OF A 3D SPHERICAL CRYSTAL WITH MOBILE PARTICLESUSING MONTE CARLO - PART II
Author(s) -
C. L. Di Prinzio,
P.I. Achával,
D. Stoler,
Guillermo G. Aguirre Varela
Publication year - 2020
Publication title -
anales/anales afa
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.14
H-Index - 2
eISSN - 1850-1168
pISSN - 0327-358X
DOI - 10.31527/analesafa.2019.30.4.79
Subject(s) - monte carlo method , radius , grain boundary , statistical physics , kinetic monte carlo , work (physics) , crystal (programming language) , materials science , kinetic energy , boundary (topology) , physics , crystallography , chemistry , mathematics , classical mechanics , thermodynamics , computer science , mathematical analysis , statistics , programming language , microstructure , computer security
In this work, the migration of the three-dimensional (3D) spherical crystal in the presence of mobile particles using aMonte Carlo algorithm was studied. Different concentrations of particles (f) and different particles mobilities (Mp)were used. It was found that the grain size reaches a critical radius (Rc) which depends exclusively onf. This dependence can be written as:Rc~f^1/3. The dynamic equation of grain size evolution and its analytical solution were alsofound. The analytical solution successfully fits the simulation results. The particles fraction in the grain boundary wasalso found analytically and it fits with the computational data.