MATLAB Source Code for Calculating Particle Velocity Distribution

This article demonstrates how to calculate particle velocity distributions using MATLAB. The implementation begins with data preparation, which includes defining particle mass, velocity parameters, and initial distribution characteristics. We then utilize MATLAB's statistical functions to compute the velocity distribution, employing algorithms that typically involve probability density function calculations or histogram-based analysis. The visualization phase uses MATLAB's histogram plotting functions (such as histogram() or histfit()) to display the distribution patterns, enabling better data interpretation and analysis. Additionally, the code allows for experimentation with different parameters and methodologies—such as varying bin sizes in histograms or applying different distribution fitting techniques—to explore alternative results and possibilities. Through this process, users can gain deeper insights into MATLAB's computational capabilities and graphical advantages, enhancing their research and practical applications in particle physics or related fields. The implementation may include key functions like normpdf() for normal distributions or ksdensity() for kernel density estimation, depending on the specific distribution model required.