Monte Carlo Grain Growth Simulation MATLAB Program

This is a MATLAB program for Monte Carlo grain growth simulation. The program utilizes random number generators and Monte Carlo methods to simulate the grain growth process. During the simulation, the growth rate of grains is influenced by multiple factors including temperature, chemical potential, and grain boundary energy. By adjusting different parameters, the program can simulate grain growth under various conditions. Key implementation features include: - Random sampling algorithms for probabilistic grain orientation changes - Energy minimization calculations using Hamiltonian-based approaches - Neighbor interaction modeling through matrix operations - Time-step iterations with state transition probabilities The program outputs grain structure images at different time points, enabling observation and analysis of the grain growth evolution. Visualization functions include color-coded grain mapping and boundary detection algorithms for clear microstructural representation.