Simulating Single Particle Motion on Hexagonal Cellular Automata

This program implements FHP (Frisch-Hasslacher-Pomeau) lattice gas automata rules using MATLAB to simulate single particle motion on hexagonal cellular automata. The hexagonal cellular automaton framework represents a discretized spatial system with regular hexagonal lattice structure, where each cell corresponds to a discrete spatial point. The simulation enables research on particle dynamics in discretized spaces, providing fundamental data and theoretical analysis for related scientific fields. During implementation, we leveraged MATLAB's built-in functions and toolboxes for efficient matrix operations and visualization, including sparse matrix techniques for state management and graphical functions for real-time motion display. Key algorithmic components include neighbor detection using hexagonal coordinate systems, collision rules implementation through bitwise operations, and boundary condition handling through periodic indexing. The code structure features modular design with separate functions for initialization, rule application, and visualization to ensure computational efficiency and code maintainability.