Effects of Higher Lattice Temperatures on 2D MC Simulation of Grain Growth and its Inhibition

Abstract

Extensive simulations applying the Monte Carlo Potts model were carried out on a twodimensional square lattice to evaluate the influence of higher lattice temperatures on grain growth kinetics and the Zener limit. A wide range of simulation temperatures (KTs) were applied on a matrixof size 10002 with Q-state 64. They were then dispersed with a wide range of second-phase particles and ran to 100,000 Monte Carlo steps. The critical temperature for a square lattice with eight nearest neighbors (8 NN) was established as KTs = 0.4, after evaluating several growth parameters, undersimulated thermal conditions. Simulations were then next run to stagnation, for higher temperatures up to the critical value of KTs, and various growth parameters were computed in the pinned state. The Zener limit was found to scale with the square root of the surface fraction of second-phase particleswhile varying exponentially with its fraction lying on the grain boundaries.