Spinodal decomposition of a two-dimensional model alloy with mobile vacancies

Kinetics of spinodal decomposition in the Ising model with dynamic lattice liquid (DLL) dynamics

“…However, this method leads to an unrealistic physical behavior for a high vacancy concentration. It can be observed that the concentration critical temperature is decreasing with the increasing vacancy [9]. On the other hand, a single vacancy (which corresponds to the vacancy concentration of %10 À6 for a typical system size) does not change the phase diagram considerably [5] contrary to the case with vacancies content of few percent.…”

Diffusion during phase separation

“…Hillert [4,5] realized that the problem could be addressed with difference equations, but he applied his scheme only to interfaces between regions having large composition differences. There have been many extensive Monte Carlo studies [5][6][7][8][9][10][11][12][13], as well as several comprehensive analytical studies [14][15][16][17][18][19]. These studies of phase separation in alloys are part of a much larger literature on critical phenomena, which includes the early work of van der Waals [20] on the liquid-vapor transition, as well as the classical analyses of ordering [21,22] and critical phenomena [23,24].…”

Spinodal decomposition of an ABv model alloy: Patterns at unstable surfaces

“…Many studies have been carried out on the kinetic Ising model with Kawasaki spin exchange dynamics [19][20][21][22][23], which corresponds to the direct exchange of atoms. In most alloys, however, the dominant mechanism of diffusion is a vacancy mechanism [24], and several models of vacancy-mediated spinodal decomposition have been investigated [25][26][27][28]. In our model, the rates for atomic jumps follow an Arrhenius law.…”